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Finding the Fourth Proportional to 206,178,404.80, 309,260,608.80 and 52,825,964.80

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Solution

The fourth proportional to 206,178,404.80, 309,260,608.80 and 52,825,964.80 is: 79,237,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,178,404.80 : 309,260,608.80 = 52,825,964.80 : x
  2. Step 2: Convert to fraction form
    206,178,404.80/309,260,608.80 = 52,825,964.80/x
  3. Step 3: Cross multiply
    206,178,404.80x = 309,260,608.80 × 52,825,964.80
  4. Step 4: Simplify right side
    206,178,404.80x = 16,336,990,034,495,370
  5. Step 5: Solve for x
    x = 16,336,990,034,495,370/206,178,404.80
  6. Step 6: Final answer
    x = 79,237,154.11

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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.