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Finding the Fourth Proportional to 687,171.44, 948,264.60 and 381,244.57

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Solution

The fourth proportional to 687,171.44, 948,264.60 and 381,244.57 is: 526,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,171.44 : 948,264.60 = 381,244.57 : x
  2. Step 2: Convert to fraction form
    687,171.44/948,264.60 = 381,244.57/x
  3. Step 3: Cross multiply
    687,171.44x = 948,264.60 × 381,244.57
  4. Step 4: Simplify right side
    687,171.44x = 361,520,724,931.90
  5. Step 5: Solve for x
    x = 361,520,724,931.90/687,171.44
  6. Step 6: Final answer
    x = 526,099.75

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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.