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Finding the Fourth Proportional to 509,856.30, 764,784.45 and 229,920.30

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Solution

The fourth proportional to 509,856.30, 764,784.45 and 229,920.30 is: 344,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,856.30 : 764,784.45 = 229,920.30 : x
  2. Step 2: Convert to fraction form
    509,856.30/764,784.45 = 229,920.30/x
  3. Step 3: Cross multiply
    509,856.30x = 764,784.45 × 229,920.30
  4. Step 4: Simplify right side
    509,856.30x = 175,839,470,179.34
  5. Step 5: Solve for x
    x = 175,839,470,179.34/509,856.30
  6. Step 6: Final answer
    x = 344,880.45

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Half scale
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Double scale
Find fourth proportional to 509,857.30, 764,785.95 and 229,921.30
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.