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Finding the Fourth Proportional to 509,772.30, 764,658.45 and 177,348.30

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Solution

The fourth proportional to 509,772.30, 764,658.45 and 177,348.30 is: 266,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,772.30 : 764,658.45 = 177,348.30 : x
  2. Step 2: Convert to fraction form
    509,772.30/764,658.45 = 177,348.30/x
  3. Step 3: Cross multiply
    509,772.30x = 764,658.45 × 177,348.30
  4. Step 4: Simplify right side
    509,772.30x = 135,610,876,188.14
  5. Step 5: Solve for x
    x = 135,610,876,188.14/509,772.30
  6. Step 6: Final answer
    x = 266,022.45

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Double scale
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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.