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Finding the Fourth Proportional to 331,463.78, 497,219.97 and 141,739.10

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Solution

The fourth proportional to 331,463.78, 497,219.97 and 141,739.10 is: 212,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,463.78 : 497,219.97 = 141,739.10 : x
  2. Step 2: Convert to fraction form
    331,463.78/497,219.97 = 141,739.10/x
  3. Step 3: Cross multiply
    331,463.78x = 497,219.97 × 141,739.10
  4. Step 4: Simplify right side
    331,463.78x = 70,475,511,049.83
  5. Step 5: Solve for x
    x = 70,475,511,049.83/331,463.78
  6. Step 6: Final answer
    x = 212,619.04

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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.