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Finding the Fourth Proportional to 527,082.86, 790,771.90 and 211,761.20

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Solution

The fourth proportional to 527,082.86, 790,771.90 and 211,761.20 is: 317,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,082.86 : 790,771.90 = 211,761.20 : x
  2. Step 2: Convert to fraction form
    527,082.86/790,771.90 = 211,761.20/x
  3. Step 3: Cross multiply
    527,082.86x = 790,771.90 × 211,761.20
  4. Step 4: Simplify right side
    527,082.86x = 167,454,806,470.28
  5. Step 5: Solve for x
    x = 167,454,806,470.28/527,082.86
  6. Step 6: Final answer
    x = 317,701.10

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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.