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Finding the Fourth Proportional to 486,005.10, 729,007.65 and 307,983.30

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Solution

The fourth proportional to 486,005.10, 729,007.65 and 307,983.30 is: 461,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,005.10 : 729,007.65 = 307,983.30 : x
  2. Step 2: Convert to fraction form
    486,005.10/729,007.65 = 307,983.30/x
  3. Step 3: Cross multiply
    486,005.10x = 729,007.65 × 307,983.30
  4. Step 4: Simplify right side
    486,005.10x = 224,522,181,772.25
  5. Step 5: Solve for x
    x = 224,522,181,772.25/486,005.10
  6. Step 6: Final answer
    x = 461,974.95

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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.