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Finding the Fourth Proportional to 261,556,418.80, 391,662,781.80 and 207,360,809.20

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Solution

The fourth proportional to 261,556,418.80, 391,662,781.80 and 207,360,809.20 is: 310,508,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,556,418.80 : 391,662,781.80 = 207,360,809.20 : x
  2. Step 2: Convert to fraction form
    261,556,418.80/391,662,781.80 = 207,360,809.20/x
  3. Step 3: Cross multiply
    261,556,418.80x = 391,662,781.80 × 207,360,809.20
  4. Step 4: Simplify right side
    261,556,418.80x = 81,215,511,367,571,024
  5. Step 5: Solve for x
    x = 81,215,511,367,571,024/261,556,418.80
  6. Step 6: Final answer
    x = 310,508,576.85

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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.