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Finding the Fourth Proportional to 687,342.70, 948,508 and 381,432.43

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Solution

The fourth proportional to 687,342.70, 948,508 and 381,432.43 is: 526,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,342.70 : 948,508 = 381,432.43 : x
  2. Step 2: Convert to fraction form
    687,342.70/948,508 = 381,432.43/x
  3. Step 3: Cross multiply
    687,342.70x = 948,508 × 381,432.43
  4. Step 4: Simplify right side
    687,342.70x = 361,791,711,314.44
  5. Step 5: Solve for x
    x = 361,791,711,314.44/687,342.70
  6. Step 6: Final answer
    x = 526,362.92

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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.