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Finding the Fourth Proportional to 522,057.70, 781,531.35 and 311,587.30

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Solution

The fourth proportional to 522,057.70, 781,531.35 and 311,587.30 is: 466,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,057.70 : 781,531.35 = 311,587.30 : x
  2. Step 2: Convert to fraction form
    522,057.70/781,531.35 = 311,587.30/x
  3. Step 3: Cross multiply
    522,057.70x = 781,531.35 × 311,587.30
  4. Step 4: Simplify right side
    522,057.70x = 243,515,243,211.86
  5. Step 5: Solve for x
    x = 243,515,243,211.86/522,057.70
  6. Step 6: Final answer
    x = 466,452.74

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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.