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Finding the Fourth Proportional to 331,593.40, 497,390.10 and 82,275.40

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Solution

The fourth proportional to 331,593.40, 497,390.10 and 82,275.40 is: 123,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,593.40 : 497,390.10 = 82,275.40 : x
  2. Step 2: Convert to fraction form
    331,593.40/497,390.10 = 82,275.40/x
  3. Step 3: Cross multiply
    331,593.40x = 497,390.10 × 82,275.40
  4. Step 4: Simplify right side
    331,593.40x = 40,922,969,433.54
  5. Step 5: Solve for x
    x = 40,922,969,433.54/331,593.40
  6. Step 6: Final answer
    x = 123,413.10

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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.