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Finding the Fourth Proportional to 436,098.80, 654,221.04 and 136,519.76

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Solution

The fourth proportional to 436,098.80, 654,221.04 and 136,519.76 is: 204,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,098.80 : 654,221.04 = 136,519.76 : x
  2. Step 2: Convert to fraction form
    436,098.80/654,221.04 = 136,519.76/x
  3. Step 3: Cross multiply
    436,098.80x = 654,221.04 × 136,519.76
  4. Step 4: Simplify right side
    436,098.80x = 89,314,099,367.75
  5. Step 5: Solve for x
    x = 89,314,099,367.75/436,098.80
  6. Step 6: Final answer
    x = 204,802.44

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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.