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Finding the Fourth Proportional to 291,754.80, 402,231.69 and 218,847.78

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Solution

The fourth proportional to 291,754.80, 402,231.69 and 218,847.78 is: 301,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,754.80 : 402,231.69 = 218,847.78 : x
  2. Step 2: Convert to fraction form
    291,754.80/402,231.69 = 218,847.78/x
  3. Step 3: Cross multiply
    291,754.80x = 402,231.69 × 218,847.78
  4. Step 4: Simplify right side
    291,754.80x = 88,027,512,402.15
  5. Step 5: Solve for x
    x = 88,027,512,402.15/291,754.80
  6. Step 6: Final answer
    x = 301,717.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.