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Finding the Fourth Proportional to 257,320.80, 354,877.20 and 172,432.80

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Solution

The fourth proportional to 257,320.80, 354,877.20 and 172,432.80 is: 237,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,320.80 : 354,877.20 = 172,432.80 : x
  2. Step 2: Convert to fraction form
    257,320.80/354,877.20 = 172,432.80/x
  3. Step 3: Cross multiply
    257,320.80x = 354,877.20 × 172,432.80
  4. Step 4: Simplify right side
    257,320.80x = 61,192,469,252.16
  5. Step 5: Solve for x
    x = 61,192,469,252.16/257,320.80
  6. Step 6: Final answer
    x = 237,806.15

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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.