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Finding the Fourth Proportional to 331,806.80, 497,712.04 and 82,488.80

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Solution

The fourth proportional to 331,806.80, 497,712.04 and 82,488.80 is: 123,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,806.80 : 497,712.04 = 82,488.80 : x
  2. Step 2: Convert to fraction form
    331,806.80/497,712.04 = 82,488.80/x
  3. Step 3: Cross multiply
    331,806.80x = 497,712.04 × 82,488.80
  4. Step 4: Simplify right side
    331,806.80x = 41,055,668,925.15
  5. Step 5: Solve for x
    x = 41,055,668,925.15/331,806.80
  6. Step 6: Final answer
    x = 123,733.66

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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.