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Finding the Fourth Proportional to 542,414.40, 813,751.20 and 261,700.80

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Solution

The fourth proportional to 542,414.40, 813,751.20 and 261,700.80 is: 392,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,414.40 : 813,751.20 = 261,700.80 : x
  2. Step 2: Convert to fraction form
    542,414.40/813,751.20 = 261,700.80/x
  3. Step 3: Cross multiply
    542,414.40x = 813,751.20 × 261,700.80
  4. Step 4: Simplify right side
    542,414.40x = 212,959,340,040.96
  5. Step 5: Solve for x
    x = 212,959,340,040.96/542,414.40
  6. Step 6: Final answer
    x = 392,613.73

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1.5x scale

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.