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Finding the Fourth Proportional to 329,919.83, 494,781.02 and 172,062.17

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Solution

The fourth proportional to 329,919.83, 494,781.02 and 172,062.17 is: 258,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,919.83 : 494,781.02 = 172,062.17 : x
  2. Step 2: Convert to fraction form
    329,919.83/494,781.02 = 172,062.17/x
  3. Step 3: Cross multiply
    329,919.83x = 494,781.02 × 172,062.17
  4. Step 4: Simplify right side
    329,919.83x = 85,133,092,641.80
  5. Step 5: Solve for x
    x = 85,133,092,641.80/329,919.83
  6. Step 6: Final answer
    x = 258,041.76

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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.