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Finding the Fourth Proportional to 509,983.80, 764,975.70 and 307,030.20

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Solution

The fourth proportional to 509,983.80, 764,975.70 and 307,030.20 is: 460,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,983.80 : 764,975.70 = 307,030.20 : x
  2. Step 2: Convert to fraction form
    509,983.80/764,975.70 = 307,030.20/x
  3. Step 3: Cross multiply
    509,983.80x = 764,975.70 × 307,030.20
  4. Step 4: Simplify right side
    509,983.80x = 234,870,642,166.14
  5. Step 5: Solve for x
    x = 234,870,642,166.14/509,983.80
  6. Step 6: Final answer
    x = 460,545.30

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Half scale
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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.