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Finding the Fourth Proportional to 402,002.40, 601,691.40 and 312,772.80

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Solution

The fourth proportional to 402,002.40, 601,691.40 and 312,772.80 is: 468,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,002.40 : 601,691.40 = 312,772.80 : x
  2. Step 2: Convert to fraction form
    402,002.40/601,691.40 = 312,772.80/x
  3. Step 3: Cross multiply
    402,002.40x = 601,691.40 × 312,772.80
  4. Step 4: Simplify right side
    402,002.40x = 188,192,703,913.92
  5. Step 5: Solve for x
    x = 188,192,703,913.92/402,002.40
  6. Step 6: Final answer
    x = 468,138.26

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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.