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Finding the Fourth Proportional to 415,141.50, 622,712.85 and 115,622.94

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Solution

The fourth proportional to 415,141.50, 622,712.85 and 115,622.94 is: 173,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,141.50 : 622,712.85 = 115,622.94 : x
  2. Step 2: Convert to fraction form
    415,141.50/622,712.85 = 115,622.94/x
  3. Step 3: Cross multiply
    415,141.50x = 622,712.85 × 115,622.94
  4. Step 4: Simplify right side
    415,141.50x = 71,999,890,492.78
  5. Step 5: Solve for x
    x = 71,999,890,492.78/415,141.50
  6. Step 6: Final answer
    x = 173,434.58

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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.