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Finding the Fourth Proportional to 442,692.20, 663,951.90 and 147,204.20

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Solution

The fourth proportional to 442,692.20, 663,951.90 and 147,204.20 is: 220,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,692.20 : 663,951.90 = 147,204.20 : x
  2. Step 2: Convert to fraction form
    442,692.20/663,951.90 = 147,204.20/x
  3. Step 3: Cross multiply
    442,692.20x = 663,951.90 × 147,204.20
  4. Step 4: Simplify right side
    442,692.20x = 97,736,508,277.98
  5. Step 5: Solve for x
    x = 97,736,508,277.98/442,692.20
  6. Step 6: Final answer
    x = 220,777.57

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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.