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Finding the Fourth Proportional to 247,708.64, 341,841.84 and 140,275.76

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Solution

The fourth proportional to 247,708.64, 341,841.84 and 140,275.76 is: 193,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,708.64 : 341,841.84 = 140,275.76 : x
  2. Step 2: Convert to fraction form
    247,708.64/341,841.84 = 140,275.76/x
  3. Step 3: Cross multiply
    247,708.64x = 341,841.84 × 140,275.76
  4. Step 4: Simplify right side
    247,708.64x = 47,952,123,905.80
  5. Step 5: Solve for x
    x = 47,952,123,905.80/247,708.64
  6. Step 6: Final answer
    x = 193,582.77

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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.