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Finding the Fourth Proportional to 203,985,511.20, 305,978,266.80 and 172,417,915.80

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Solution

The fourth proportional to 203,985,511.20, 305,978,266.80 and 172,417,915.80 is: 258,626,873.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,985,511.20 : 305,978,266.80 = 172,417,915.80 : x
  2. Step 2: Convert to fraction form
    203,985,511.20/305,978,266.80 = 172,417,915.80/x
  3. Step 3: Cross multiply
    203,985,511.20x = 305,978,266.80 × 172,417,915.80
  4. Step 4: Simplify right side
    203,985,511.20x = 52,756,135,041,752,344
  5. Step 5: Solve for x
    x = 52,756,135,041,752,344/203,985,511.20
  6. Step 6: Final answer
    x = 258,626,873.70

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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.