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Finding the Fourth Proportional to 261,212.80, 391,819.20 and 121,244.80

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Solution

The fourth proportional to 261,212.80, 391,819.20 and 121,244.80 is: 181,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,212.80 : 391,819.20 = 121,244.80 : x
  2. Step 2: Convert to fraction form
    261,212.80/391,819.20 = 121,244.80/x
  3. Step 3: Cross multiply
    261,212.80x = 391,819.20 × 121,244.80
  4. Step 4: Simplify right side
    261,212.80x = 47,506,040,540.16
  5. Step 5: Solve for x
    x = 47,506,040,540.16/261,212.80
  6. Step 6: Final answer
    x = 181,867.20

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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.