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Finding the Fourth Proportional to 431,316.20, 647,060.70 and 361,677.80

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Solution

The fourth proportional to 431,316.20, 647,060.70 and 361,677.80 is: 542,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,316.20 : 647,060.70 = 361,677.80 : x
  2. Step 2: Convert to fraction form
    431,316.20/647,060.70 = 361,677.80/x
  3. Step 3: Cross multiply
    431,316.20x = 647,060.70 × 361,677.80
  4. Step 4: Simplify right side
    431,316.20x = 234,027,490,442.46
  5. Step 5: Solve for x
    x = 234,027,490,442.46/431,316.20
  6. Step 6: Final answer
    x = 542,589.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.