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Finding the Fourth Proportional to 415,158.52, 622,738.20 and 115,639.72

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Solution

The fourth proportional to 415,158.52, 622,738.20 and 115,639.72 is: 173,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,158.52 : 622,738.20 = 115,639.72 : x
  2. Step 2: Convert to fraction form
    415,158.52/622,738.20 = 115,639.72/x
  3. Step 3: Cross multiply
    415,158.52x = 622,738.20 × 115,639.72
  4. Step 4: Simplify right side
    415,158.52x = 72,013,271,081.30
  5. Step 5: Solve for x
    x = 72,013,271,081.30/415,158.52
  6. Step 6: Final answer
    x = 173,459.70

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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.