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Finding the Fourth Proportional to 257,708.41, 386,470 and 89,182.98

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Solution

The fourth proportional to 257,708.41, 386,470 and 89,182.98 is: 133,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,708.41 : 386,470 = 89,182.98 : x
  2. Step 2: Convert to fraction form
    257,708.41/386,470 = 89,182.98/x
  3. Step 3: Cross multiply
    257,708.41x = 386,470 × 89,182.98
  4. Step 4: Simplify right side
    257,708.41x = 34,466,546,280.60
  5. Step 5: Solve for x
    x = 34,466,546,280.60/257,708.41
  6. Step 6: Final answer
    x = 133,742.42

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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.