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Finding the Fourth Proportional to 290,313,314.60, 435,469,971.90 and 267,134,613.80

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Solution

The fourth proportional to 290,313,314.60, 435,469,971.90 and 267,134,613.80 is: 400,701,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,313,314.60 : 435,469,971.90 = 267,134,613.80 : x
  2. Step 2: Convert to fraction form
    290,313,314.60/435,469,971.90 = 267,134,613.80/x
  3. Step 3: Cross multiply
    290,313,314.60x = 435,469,971.90 × 267,134,613.80
  4. Step 4: Simplify right side
    290,313,314.60x = 116,329,102,765,003,344
  5. Step 5: Solve for x
    x = 116,329,102,765,003,344/290,313,314.60
  6. Step 6: Final answer
    x = 400,701,920.70

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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.