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Finding the Fourth Proportional to 514,073.64, 709,424.04 and 287,762.88

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Solution

The fourth proportional to 514,073.64, 709,424.04 and 287,762.88 is: 397,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,073.64 : 709,424.04 = 287,762.88 : x
  2. Step 2: Convert to fraction form
    514,073.64/709,424.04 = 287,762.88/x
  3. Step 3: Cross multiply
    514,073.64x = 709,424.04 × 287,762.88
  4. Step 4: Simplify right side
    514,073.64x = 204,145,904,891.64
  5. Step 5: Solve for x
    x = 204,145,904,891.64/514,073.64
  6. Step 6: Final answer
    x = 397,114.13

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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.