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Finding the Fourth Proportional to 312,984,528.30, 469,476,792.45 and 198,098,793.90

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Solution

The fourth proportional to 312,984,528.30, 469,476,792.45 and 198,098,793.90 is: 297,148,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,984,528.30 : 469,476,792.45 = 198,098,793.90 : x
  2. Step 2: Convert to fraction form
    312,984,528.30/469,476,792.45 = 198,098,793.90/x
  3. Step 3: Cross multiply
    312,984,528.30x = 469,476,792.45 × 198,098,793.90
  4. Step 4: Simplify right side
    312,984,528.30x = 93,002,786,348,385,632
  5. Step 5: Solve for x
    x = 93,002,786,348,385,632/312,984,528.30
  6. Step 6: Final answer
    x = 297,148,190.85

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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.