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Finding the Fourth Proportional to 803,862.60, 1,205,793.90 and 271,255.20

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Solution

The fourth proportional to 803,862.60, 1,205,793.90 and 271,255.20 is: 406,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,862.60 : 1,205,793.90 = 271,255.20 : x
  2. Step 2: Convert to fraction form
    803,862.60/1,205,793.90 = 271,255.20/x
  3. Step 3: Cross multiply
    803,862.60x = 1,205,793.90 × 271,255.20
  4. Step 4: Simplify right side
    803,862.60x = 327,077,865,503.28
  5. Step 5: Solve for x
    x = 327,077,865,503.28/803,862.60
  6. Step 6: Final answer
    x = 406,882.80

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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.