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Finding the Fourth Proportional to 206,207,272.80, 309,303,910.80 and 52,854,832.80

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Solution

The fourth proportional to 206,207,272.80, 309,303,910.80 and 52,854,832.80 is: 79,280,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,207,272.80 : 309,303,910.80 = 52,854,832.80 : x
  2. Step 2: Convert to fraction form
    206,207,272.80/309,303,910.80 = 52,854,832.80/x
  3. Step 3: Cross multiply
    206,207,272.80x = 309,303,910.80 × 52,854,832.80
  4. Step 4: Simplify right side
    206,207,272.80x = 16,348,206,489,720,114
  5. Step 5: Solve for x
    x = 16,348,206,489,720,114/206,207,272.80
  6. Step 6: Final answer
    x = 79,280,455.38

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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.