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Finding the Fourth Proportional to 527,065.38, 790,744.68 and 172,100.70

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Solution

The fourth proportional to 527,065.38, 790,744.68 and 172,100.70 is: 258,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,065.38 : 790,744.68 = 172,100.70 : x
  2. Step 2: Convert to fraction form
    527,065.38/790,744.68 = 172,100.70/x
  3. Step 3: Cross multiply
    527,065.38x = 790,744.68 × 172,100.70
  4. Step 4: Simplify right side
    527,065.38x = 136,087,712,949.28
  5. Step 5: Solve for x
    x = 136,087,712,949.28/527,065.38
  6. Step 6: Final answer
    x = 258,198.92

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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.