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Finding the Fourth Proportional to 325,549,820.80, 488,324,731.20 and 264,327,817.60

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Solution

The fourth proportional to 325,549,820.80, 488,324,731.20 and 264,327,817.60 is: 396,491,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,549,820.80 : 488,324,731.20 = 264,327,817.60 : x
  2. Step 2: Convert to fraction form
    325,549,820.80/488,324,731.20 = 264,327,817.60/x
  3. Step 3: Cross multiply
    325,549,820.80x = 488,324,731.20 × 264,327,817.60
  4. Step 4: Simplify right side
    325,549,820.80x = 129,077,810,478,202,624
  5. Step 5: Solve for x
    x = 129,077,810,478,202,624/325,549,820.80
  6. Step 6: Final answer
    x = 396,491,726.40

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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.