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Finding the Fourth Proportional to 331,319.10, 496,978.65 and 120,963.90

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Solution

The fourth proportional to 331,319.10, 496,978.65 and 120,963.90 is: 181,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,319.10 : 496,978.65 = 120,963.90 : x
  2. Step 2: Convert to fraction form
    331,319.10/496,978.65 = 120,963.90/x
  3. Step 3: Cross multiply
    331,319.10x = 496,978.65 × 120,963.90
  4. Step 4: Simplify right side
    331,319.10x = 60,116,475,720.74
  5. Step 5: Solve for x
    x = 60,116,475,720.74/331,319.10
  6. Step 6: Final answer
    x = 181,445.85

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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.