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Finding the Fourth Proportional to 260,673,311.80, 391,427,759.70 and 207,264,748.60

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Solution

The fourth proportional to 260,673,311.80, 391,427,759.70 and 207,264,748.60 is: 311,229,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,673,311.80 : 391,427,759.70 = 207,264,748.60 : x
  2. Step 2: Convert to fraction form
    260,673,311.80/391,427,759.70 = 207,264,748.60/x
  3. Step 3: Cross multiply
    260,673,311.80x = 391,427,759.70 × 207,264,748.60
  4. Step 4: Simplify right side
    260,673,311.80x = 81,129,176,209,281,712
  5. Step 5: Solve for x
    x = 81,129,176,209,281,712/260,673,311.80
  6. Step 6: Final answer
    x = 311,229,314.77

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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.