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Finding the Fourth Proportional to 260,783,713.20, 391,175,569.80 and 256,752,634.80

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Solution

The fourth proportional to 260,783,713.20, 391,175,569.80 and 256,752,634.80 is: 385,128,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,783,713.20 : 391,175,569.80 = 256,752,634.80 : x
  2. Step 2: Convert to fraction form
    260,783,713.20/391,175,569.80 = 256,752,634.80/x
  3. Step 3: Cross multiply
    260,783,713.20x = 391,175,569.80 × 256,752,634.80
  4. Step 4: Simplify right side
    260,783,713.20x = 100,435,358,215,541,312
  5. Step 5: Solve for x
    x = 100,435,358,215,541,312/260,783,713.20
  6. Step 6: Final answer
    x = 385,128,952.20

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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.