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Finding the Fourth Proportional to 261,194.49, 392,251.14 and 257,454.72

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Solution

The fourth proportional to 261,194.49, 392,251.14 and 257,454.72 is: 386,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,194.49 : 392,251.14 = 257,454.72 : x
  2. Step 2: Convert to fraction form
    261,194.49/392,251.14 = 257,454.72/x
  3. Step 3: Cross multiply
    261,194.49x = 392,251.14 × 257,454.72
  4. Step 4: Simplify right side
    261,194.49x = 100,986,907,418.38
  5. Step 5: Solve for x
    x = 100,986,907,418.38/261,194.49
  6. Step 6: Final answer
    x = 386,634.91

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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.