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Finding the Fourth Proportional to 445,781, 614,715.38 and 381,463.15

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Solution

The fourth proportional to 445,781, 614,715.38 and 381,463.15 is: 526,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,781 : 614,715.38 = 381,463.15 : x
  2. Step 2: Convert to fraction form
    445,781/614,715.38 = 381,463.15/x
  3. Step 3: Cross multiply
    445,781x = 614,715.38 × 381,463.15
  4. Step 4: Simplify right side
    445,781x = 234,491,260,227.35
  5. Step 5: Solve for x
    x = 234,491,260,227.35/445,781
  6. Step 6: Final answer
    x = 526,023.45

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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.