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Finding the Fourth Proportional to 687,443.78, 948,682.65 and 381,539.88

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Solution

The fourth proportional to 687,443.78, 948,682.65 and 381,539.88 is: 526,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,443.78 : 948,682.65 = 381,539.88 : x
  2. Step 2: Convert to fraction form
    687,443.78/948,682.65 = 381,539.88/x
  3. Step 3: Cross multiply
    687,443.78x = 948,682.65 × 381,539.88
  4. Step 4: Simplify right side
    687,443.78x = 361,960,264,439.08
  5. Step 5: Solve for x
    x = 361,960,264,439.08/687,443.78
  6. Step 6: Final answer
    x = 526,530.72

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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.