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Finding the Fourth Proportional to 291,819.96, 437,734.32 and 81,459

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Solution

The fourth proportional to 291,819.96, 437,734.32 and 81,459 is: 122,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,819.96 : 437,734.32 = 81,459 : x
  2. Step 2: Convert to fraction form
    291,819.96/437,734.32 = 81,459/x
  3. Step 3: Cross multiply
    291,819.96x = 437,734.32 × 81,459
  4. Step 4: Simplify right side
    291,819.96x = 35,657,399,972.88
  5. Step 5: Solve for x
    x = 35,657,399,972.88/291,819.96
  6. Step 6: Final answer
    x = 122,189.72

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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.