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Finding the Fourth Proportional to 490,493.99, 735,733.68 and 135,500.15

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Solution

The fourth proportional to 490,493.99, 735,733.68 and 135,500.15 is: 203,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,493.99 : 735,733.68 = 135,500.15 : x
  2. Step 2: Convert to fraction form
    490,493.99/735,733.68 = 135,500.15/x
  3. Step 3: Cross multiply
    490,493.99x = 735,733.68 × 135,500.15
  4. Step 4: Simplify right side
    490,493.99x = 99,692,020,321.38
  5. Step 5: Solve for x
    x = 99,692,020,321.38/490,493.99
  6. Step 6: Final answer
    x = 203,248.20

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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.