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Finding the Fourth Proportional to 514,304.28, 709,731.98 and 287,957.88

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Solution

The fourth proportional to 514,304.28, 709,731.98 and 287,957.88 is: 397,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,304.28 : 709,731.98 = 287,957.88 : x
  2. Step 2: Convert to fraction form
    514,304.28/709,731.98 = 287,957.88/x
  3. Step 3: Cross multiply
    514,304.28x = 709,731.98 × 287,957.88
  4. Step 4: Simplify right side
    514,304.28x = 204,372,916,329.00
  5. Step 5: Solve for x
    x = 204,372,916,329.00/514,304.28
  6. Step 6: Final answer
    x = 397,377.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.