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Finding the Fourth Proportional to 256,147.76, 353,711.42 and 159,517.55

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Solution

The fourth proportional to 256,147.76, 353,711.42 and 159,517.55 is: 220,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,147.76 : 353,711.42 = 159,517.55 : x
  2. Step 2: Convert to fraction form
    256,147.76/353,711.42 = 159,517.55/x
  3. Step 3: Cross multiply
    256,147.76x = 353,711.42 × 159,517.55
  4. Step 4: Simplify right side
    256,147.76x = 56,423,176,559.28
  5. Step 5: Solve for x
    x = 56,423,176,559.28/256,147.76
  6. Step 6: Final answer
    x = 220,275.89

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1.5x scale

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.