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Finding the Fourth Proportional to 331,820.60, 497,730.90 and 82,502.60

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Solution

The fourth proportional to 331,820.60, 497,730.90 and 82,502.60 is: 123,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,820.60 : 497,730.90 = 82,502.60 : x
  2. Step 2: Convert to fraction form
    331,820.60/497,730.90 = 82,502.60/x
  3. Step 3: Cross multiply
    331,820.60x = 497,730.90 × 82,502.60
  4. Step 4: Simplify right side
    331,820.60x = 41,064,093,350.34
  5. Step 5: Solve for x
    x = 41,064,093,350.34/331,820.60
  6. Step 6: Final answer
    x = 123,753.90

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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.