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Finding the Fourth Proportional to 385,414.40, 578,134.24 and 132,692.22

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Solution

The fourth proportional to 385,414.40, 578,134.24 and 132,692.22 is: 199,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,414.40 : 578,134.24 = 132,692.22 : x
  2. Step 2: Convert to fraction form
    385,414.40/578,134.24 = 132,692.22/x
  3. Step 3: Cross multiply
    385,414.40x = 578,134.24 × 132,692.22
  4. Step 4: Simplify right side
    385,414.40x = 76,713,915,431.88
  5. Step 5: Solve for x
    x = 76,713,915,431.88/385,414.40
  6. Step 6: Final answer
    x = 199,042.68

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1.5x scale

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.