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Finding the Fourth Proportional to 322,438.43, 483,657.05 and 85,781.10

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Solution

The fourth proportional to 322,438.43, 483,657.05 and 85,781.10 is: 128,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,438.43 : 483,657.05 = 85,781.10 : x
  2. Step 2: Convert to fraction form
    322,438.43/483,657.05 = 85,781.10/x
  3. Step 3: Cross multiply
    322,438.43x = 483,657.05 × 85,781.10
  4. Step 4: Simplify right side
    322,438.43x = 41,488,633,342.85
  5. Step 5: Solve for x
    x = 41,488,633,342.85/322,438.43
  6. Step 6: Final answer
    x = 128,671.49

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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.