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Finding the Fourth Proportional to 331,538.52, 457,510.86 and 202,692.78

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Solution

The fourth proportional to 331,538.52, 457,510.86 and 202,692.78 is: 279,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,538.52 : 457,510.86 = 202,692.78 : x
  2. Step 2: Convert to fraction form
    331,538.52/457,510.86 = 202,692.78/x
  3. Step 3: Cross multiply
    331,538.52x = 457,510.86 × 202,692.78
  4. Step 4: Simplify right side
    331,538.52x = 92,734,148,093.59
  5. Step 5: Solve for x
    x = 92,734,148,093.59/331,538.52
  6. Step 6: Final answer
    x = 279,708.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.