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Finding the Fourth Proportional to 343,691.34, 515,414.01 and 118,991.46

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Solution

The fourth proportional to 343,691.34, 515,414.01 and 118,991.46 is: 178,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,691.34 : 515,414.01 = 118,991.46 : x
  2. Step 2: Convert to fraction form
    343,691.34/515,414.01 = 118,991.46/x
  3. Step 3: Cross multiply
    343,691.34x = 515,414.01 × 118,991.46
  4. Step 4: Simplify right side
    343,691.34x = 61,329,865,554.35
  5. Step 5: Solve for x
    x = 61,329,865,554.35/343,691.34
  6. Step 6: Final answer
    x = 178,444.61

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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.