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Finding the Fourth Proportional to 257,946.80, 386,920.20 and 231,702.80

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Solution

The fourth proportional to 257,946.80, 386,920.20 and 231,702.80 is: 347,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,946.80 : 386,920.20 = 231,702.80 : x
  2. Step 2: Convert to fraction form
    257,946.80/386,920.20 = 231,702.80/x
  3. Step 3: Cross multiply
    257,946.80x = 386,920.20 × 231,702.80
  4. Step 4: Simplify right side
    257,946.80x = 89,650,493,716.56
  5. Step 5: Solve for x
    x = 89,650,493,716.56/257,946.80
  6. Step 6: Final answer
    x = 347,554.20

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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.