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Finding the Fourth Proportional to 291,223.52, 436,835.10 and 80,861.40

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Solution

The fourth proportional to 291,223.52, 436,835.10 and 80,861.40 is: 121,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,223.52 : 436,835.10 = 80,861.40 : x
  2. Step 2: Convert to fraction form
    291,223.52/436,835.10 = 80,861.40/x
  3. Step 3: Cross multiply
    291,223.52x = 436,835.10 × 80,861.40
  4. Step 4: Simplify right side
    291,223.52x = 35,323,097,755.14
  5. Step 5: Solve for x
    x = 35,323,097,755.14/291,223.52
  6. Step 6: Final answer
    x = 121,292.05

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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.