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Finding the Fourth Proportional to 580,238.31, 870,355.03 and 327,403.70

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Solution

The fourth proportional to 580,238.31, 870,355.03 and 327,403.70 is: 491,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,238.31 : 870,355.03 = 327,403.70 : x
  2. Step 2: Convert to fraction form
    580,238.31/870,355.03 = 327,403.70/x
  3. Step 3: Cross multiply
    580,238.31x = 870,355.03 × 327,403.70
  4. Step 4: Simplify right side
    580,238.31x = 284,957,457,135.61
  5. Step 5: Solve for x
    x = 284,957,457,135.61/580,238.31
  6. Step 6: Final answer
    x = 491,104.18

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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.