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Finding the Fourth Proportional to 687,178.89, 948,274.86 and 381,252.03

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Solution

The fourth proportional to 687,178.89, 948,274.86 and 381,252.03 is: 526,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,178.89 : 948,274.86 = 381,252.03 : x
  2. Step 2: Convert to fraction form
    687,178.89/948,274.86 = 381,252.03/x
  3. Step 3: Cross multiply
    687,178.89x = 948,274.86 × 381,252.03
  4. Step 4: Simplify right side
    687,178.89x = 361,531,715,372.97
  5. Step 5: Solve for x
    x = 361,531,715,372.97/687,178.89
  6. Step 6: Final answer
    x = 526,110.04

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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.