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Finding the Fourth Proportional to 514,838.43, 709,689.45 and 361,446.30

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Solution

The fourth proportional to 514,838.43, 709,689.45 and 361,446.30 is: 498,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,838.43 : 709,689.45 = 361,446.30 : x
  2. Step 2: Convert to fraction form
    514,838.43/709,689.45 = 361,446.30/x
  3. Step 3: Cross multiply
    514,838.43x = 709,689.45 × 361,446.30
  4. Step 4: Simplify right side
    514,838.43x = 256,514,625,851.54
  5. Step 5: Solve for x
    x = 256,514,625,851.54/514,838.43
  6. Step 6: Final answer
    x = 498,242.96

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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.