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Finding the Fourth Proportional to 487,428.57, 729,159.98 and 412,079.13

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Solution

The fourth proportional to 487,428.57, 729,159.98 and 412,079.13 is: 616,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,428.57 : 729,159.98 = 412,079.13 : x
  2. Step 2: Convert to fraction form
    487,428.57/729,159.98 = 412,079.13/x
  3. Step 3: Cross multiply
    487,428.57x = 729,159.98 × 412,079.13
  4. Step 4: Simplify right side
    487,428.57x = 300,471,608,128.82
  5. Step 5: Solve for x
    x = 300,471,608,128.82/487,428.57
  6. Step 6: Final answer
    x = 616,442.34

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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.