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Finding the Fourth Proportional to 342,251.28, 513,347.76 and 105,595.92

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Solution

The fourth proportional to 342,251.28, 513,347.76 and 105,595.92 is: 158,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,251.28 : 513,347.76 = 105,595.92 : x
  2. Step 2: Convert to fraction form
    342,251.28/513,347.76 = 105,595.92/x
  3. Step 3: Cross multiply
    342,251.28x = 513,347.76 × 105,595.92
  4. Step 4: Simplify right side
    342,251.28x = 54,207,428,997.14
  5. Step 5: Solve for x
    x = 54,207,428,997.14/342,251.28
  6. Step 6: Final answer
    x = 158,384.88

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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.