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Finding the Fourth Proportional to 415,129.20, 622,607.40 and 115,532.40

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Solution

The fourth proportional to 415,129.20, 622,607.40 and 115,532.40 is: 173,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,129.20 : 622,607.40 = 115,532.40 : x
  2. Step 2: Convert to fraction form
    415,129.20/622,607.40 = 115,532.40/x
  3. Step 3: Cross multiply
    415,129.20x = 622,607.40 × 115,532.40
  4. Step 4: Simplify right side
    415,129.20x = 71,931,327,179.76
  5. Step 5: Solve for x
    x = 71,931,327,179.76/415,129.20
  6. Step 6: Final answer
    x = 173,274.55

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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.