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Finding the Fourth Proportional to 527,748.78, 789,754.50 and 328,163.16

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Solution

The fourth proportional to 527,748.78, 789,754.50 and 328,163.16 is: 491,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,748.78 : 789,754.50 = 328,163.16 : x
  2. Step 2: Convert to fraction form
    527,748.78/789,754.50 = 328,163.16/x
  3. Step 3: Cross multiply
    527,748.78x = 789,754.50 × 328,163.16
  4. Step 4: Simplify right side
    527,748.78x = 259,168,332,344.22
  5. Step 5: Solve for x
    x = 259,168,332,344.22/527,748.78
  6. Step 6: Final answer
    x = 491,082.77

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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.