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Finding the Fourth Proportional to 383,669,992.80, 575,504,989.20 and 141,427,375.20

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Solution

The fourth proportional to 383,669,992.80, 575,504,989.20 and 141,427,375.20 is: 212,141,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,669,992.80 : 575,504,989.20 = 141,427,375.20 : x
  2. Step 2: Convert to fraction form
    383,669,992.80/575,504,989.20 = 141,427,375.20/x
  3. Step 3: Cross multiply
    383,669,992.80x = 575,504,989.20 × 141,427,375.20
  4. Step 4: Simplify right side
    383,669,992.80x = 81,392,160,037,060,352
  5. Step 5: Solve for x
    x = 81,392,160,037,060,352/383,669,992.80
  6. Step 6: Final answer
    x = 212,141,062.80

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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.