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Finding the Fourth Proportional to 260,812.80, 391,478.40 and 127,843.20

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Solution

The fourth proportional to 260,812.80, 391,478.40 and 127,843.20 is: 191,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,812.80 : 391,478.40 = 127,843.20 : x
  2. Step 2: Convert to fraction form
    260,812.80/391,478.40 = 127,843.20/x
  3. Step 3: Cross multiply
    260,812.80x = 391,478.40 × 127,843.20
  4. Step 4: Simplify right side
    260,812.80x = 50,047,851,386.88
  5. Step 5: Solve for x
    x = 50,047,851,386.88/260,812.80
  6. Step 6: Final answer
    x = 191,891.85

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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.