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Finding the Fourth Proportional to 291,132.64, 436,699.14 and 80,770.78

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Solution

The fourth proportional to 291,132.64, 436,699.14 and 80,770.78 is: 121,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,132.64 : 436,699.14 = 80,770.78 : x
  2. Step 2: Convert to fraction form
    291,132.64/436,699.14 = 80,770.78/x
  3. Step 3: Cross multiply
    291,132.64x = 436,699.14 × 80,770.78
  4. Step 4: Simplify right side
    291,132.64x = 35,272,530,163.13
  5. Step 5: Solve for x
    x = 35,272,530,163.13/291,132.64
  6. Step 6: Final answer
    x = 121,156.22

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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.