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Finding the Fourth Proportional to 687,276.33, 948,493.20 and 381,410.47

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Solution

The fourth proportional to 687,276.33, 948,493.20 and 381,410.47 is: 526,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,276.33 : 948,493.20 = 381,410.47 : x
  2. Step 2: Convert to fraction form
    687,276.33/948,493.20 = 381,410.47/x
  3. Step 3: Cross multiply
    687,276.33x = 948,493.20 × 381,410.47
  4. Step 4: Simplify right side
    687,276.33x = 361,765,237,203.80
  5. Step 5: Solve for x
    x = 361,765,237,203.80/687,276.33
  6. Step 6: Final answer
    x = 526,375.23

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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.