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Finding the Fourth Proportional to 527,082.72, 790,771.73 and 211,761.06

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Solution

The fourth proportional to 527,082.72, 790,771.73 and 211,761.06 is: 317,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,082.72 : 790,771.73 = 211,761.06 : x
  2. Step 2: Convert to fraction form
    527,082.72/790,771.73 = 211,761.06/x
  3. Step 3: Cross multiply
    527,082.72x = 790,771.73 × 211,761.06
  4. Step 4: Simplify right side
    527,082.72x = 167,454,658,704.03
  5. Step 5: Solve for x
    x = 167,454,658,704.03/527,082.72
  6. Step 6: Final answer
    x = 317,700.91

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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.