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Finding the Fourth Proportional to 415,141, 622,712.10 and 115,622.44

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Solution

The fourth proportional to 415,141, 622,712.10 and 115,622.44 is: 173,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,141 : 622,712.10 = 115,622.44 : x
  2. Step 2: Convert to fraction form
    415,141/622,712.10 = 115,622.44/x
  3. Step 3: Cross multiply
    415,141x = 622,712.10 × 115,622.44
  4. Step 4: Simplify right side
    415,141x = 71,999,492,419.52
  5. Step 5: Solve for x
    x = 71,999,492,419.52/415,141
  6. Step 6: Final answer
    x = 173,433.83

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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.