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Finding the Fourth Proportional to 580,508.10, 868,793.85 and 509,649.30

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Solution

The fourth proportional to 580,508.10, 868,793.85 and 509,649.30 is: 762,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,508.10 : 868,793.85 = 509,649.30 : x
  2. Step 2: Convert to fraction form
    580,508.10/868,793.85 = 509,649.30/x
  3. Step 3: Cross multiply
    580,508.10x = 868,793.85 × 509,649.30
  4. Step 4: Simplify right side
    580,508.10x = 442,780,177,496.81
  5. Step 5: Solve for x
    x = 442,780,177,496.81/580,508.10
  6. Step 6: Final answer
    x = 762,745.91

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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.