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Finding the Fourth Proportional to 489,933,793.80, 734,900,690.70 and 423,421,000.20

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Solution

The fourth proportional to 489,933,793.80, 734,900,690.70 and 423,421,000.20 is: 635,131,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,933,793.80 : 734,900,690.70 = 423,421,000.20 : x
  2. Step 2: Convert to fraction form
    489,933,793.80/734,900,690.70 = 423,421,000.20/x
  3. Step 3: Cross multiply
    489,933,793.80x = 734,900,690.70 × 423,421,000.20
  4. Step 4: Simplify right side
    489,933,793.80x = 311,172,385,503,864,832
  5. Step 5: Solve for x
    x = 311,172,385,503,864,832/489,933,793.80
  6. Step 6: Final answer
    x = 635,131,500.30

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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.