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Finding the Fourth Proportional to 445,711,978.80, 668,567,968.20 and 343,675,306.80

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Solution

The fourth proportional to 445,711,978.80, 668,567,968.20 and 343,675,306.80 is: 515,512,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,711,978.80 : 668,567,968.20 = 343,675,306.80 : x
  2. Step 2: Convert to fraction form
    445,711,978.80/668,567,968.20 = 343,675,306.80/x
  3. Step 3: Cross multiply
    445,711,978.80x = 668,567,968.20 × 343,675,306.80
  4. Step 4: Simplify right side
    445,711,978.80x = 229,770,301,587,787,680
  5. Step 5: Solve for x
    x = 229,770,301,587,787,680/445,711,978.80
  6. Step 6: Final answer
    x = 515,512,960.20

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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.