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Finding the Fourth Proportional to 209,957,078.80, 314,935,618.20 and 204,288,374.80

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Solution

The fourth proportional to 209,957,078.80, 314,935,618.20 and 204,288,374.80 is: 306,432,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,957,078.80 : 314,935,618.20 = 204,288,374.80 : x
  2. Step 2: Convert to fraction form
    209,957,078.80/314,935,618.20 = 204,288,374.80/x
  3. Step 3: Cross multiply
    209,957,078.80x = 314,935,618.20 × 204,288,374.80
  4. Step 4: Simplify right side
    209,957,078.80x = 64,337,685,608,711,304
  5. Step 5: Solve for x
    x = 64,337,685,608,711,304/209,957,078.80
  6. Step 6: Final answer
    x = 306,432,562.20

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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.