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Finding the Fourth Proportional to 415,154.80, 622,732.76 and 115,636.24

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Solution

The fourth proportional to 415,154.80, 622,732.76 and 115,636.24 is: 173,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,154.80 : 622,732.76 = 115,636.24 : x
  2. Step 2: Convert to fraction form
    415,154.80/622,732.76 = 115,636.24/x
  3. Step 3: Cross multiply
    415,154.80x = 622,732.76 × 115,636.24
  4. Step 4: Simplify right side
    415,154.80x = 72,010,474,891.22
  5. Step 5: Solve for x
    x = 72,010,474,891.22/415,154.80
  6. Step 6: Final answer
    x = 173,454.52

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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.