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Finding the Fourth Proportional to 274,612,012.80, 411,918,019.20 and 165,560,319.60

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Solution

The fourth proportional to 274,612,012.80, 411,918,019.20 and 165,560,319.60 is: 248,340,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,612,012.80 : 411,918,019.20 = 165,560,319.60 : x
  2. Step 2: Convert to fraction form
    274,612,012.80/411,918,019.20 = 165,560,319.60/x
  3. Step 3: Cross multiply
    274,612,012.80x = 411,918,019.20 × 165,560,319.60
  4. Step 4: Simplify right side
    274,612,012.80x = 68,197,278,907,750,928
  5. Step 5: Solve for x
    x = 68,197,278,907,750,928/274,612,012.80
  6. Step 6: Final answer
    x = 248,340,479.40

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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.