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Finding the Fourth Proportional to 415,159.20, 622,652.40 and 115,562.40

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Solution

The fourth proportional to 415,159.20, 622,652.40 and 115,562.40 is: 173,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,159.20 : 622,652.40 = 115,562.40 : x
  2. Step 2: Convert to fraction form
    415,159.20/622,652.40 = 115,562.40/x
  3. Step 3: Cross multiply
    415,159.20x = 622,652.40 × 115,562.40
  4. Step 4: Simplify right side
    415,159.20x = 71,955,205,709.76
  5. Step 5: Solve for x
    x = 71,955,205,709.76/415,159.20
  6. Step 6: Final answer
    x = 173,319.55

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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.