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Finding the Fourth Proportional to 284,463,609.60, 426,695,414.40 and 212,799,993.60

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Solution

The fourth proportional to 284,463,609.60, 426,695,414.40 and 212,799,993.60 is: 319,199,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,463,609.60 : 426,695,414.40 = 212,799,993.60 : x
  2. Step 2: Convert to fraction form
    284,463,609.60/426,695,414.40 = 212,799,993.60/x
  3. Step 3: Cross multiply
    284,463,609.60x = 426,695,414.40 × 212,799,993.60
  4. Step 4: Simplify right side
    284,463,609.60x = 90,800,781,453,469,344
  5. Step 5: Solve for x
    x = 90,800,781,453,469,344/284,463,609.60
  6. Step 6: Final answer
    x = 319,199,990.40

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1.5x scale

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.