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Finding the Fourth Proportional to 206,597,125.80, 309,895,688.70 and 206,597,125.80

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Solution

The fourth proportional to 206,597,125.80, 309,895,688.70 and 206,597,125.80 is: 309,895,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,597,125.80 : 309,895,688.70 = 206,597,125.80 : x
  2. Step 2: Convert to fraction form
    206,597,125.80/309,895,688.70 = 206,597,125.80/x
  3. Step 3: Cross multiply
    206,597,125.80x = 309,895,688.70 × 206,597,125.80
  4. Step 4: Simplify right side
    206,597,125.80x = 64,023,558,583,231,536
  5. Step 5: Solve for x
    x = 64,023,558,583,231,536/206,597,125.80
  6. Step 6: Final answer
    x = 309,895,688.70

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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.