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Finding the Fourth Proportional to 522,853.14, 784,185.35 and 138,604.53

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Solution

The fourth proportional to 522,853.14, 784,185.35 and 138,604.53 is: 207,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,853.14 : 784,185.35 = 138,604.53 : x
  2. Step 2: Convert to fraction form
    522,853.14/784,185.35 = 138,604.53/x
  3. Step 3: Cross multiply
    522,853.14x = 784,185.35 × 138,604.53
  4. Step 4: Simplify right side
    522,853.14x = 108,691,641,176.61
  5. Step 5: Solve for x
    x = 108,691,641,176.61/522,853.14
  6. Step 6: Final answer
    x = 207,881.78

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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.