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Finding the Fourth Proportional to 257,498.16, 386,268.24 and 129,348.53

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Solution

The fourth proportional to 257,498.16, 386,268.24 and 129,348.53 is: 194,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,498.16 : 386,268.24 = 129,348.53 : x
  2. Step 2: Convert to fraction form
    257,498.16/386,268.24 = 129,348.53/x
  3. Step 3: Cross multiply
    257,498.16x = 386,268.24 × 129,348.53
  4. Step 4: Simplify right side
    257,498.16x = 49,963,229,031.91
  5. Step 5: Solve for x
    x = 49,963,229,031.91/257,498.16
  6. Step 6: Final answer
    x = 194,033.35

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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.