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Finding the Fourth Proportional to 312,861.88, 469,268.34 and 88,213.24

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Solution

The fourth proportional to 312,861.88, 469,268.34 and 88,213.24 is: 132,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,861.88 : 469,268.34 = 88,213.24 : x
  2. Step 2: Convert to fraction form
    312,861.88/469,268.34 = 88,213.24/x
  3. Step 3: Cross multiply
    312,861.88x = 469,268.34 × 88,213.24
  4. Step 4: Simplify right side
    312,861.88x = 41,395,680,700.82
  5. Step 5: Solve for x
    x = 41,395,680,700.82/312,861.88
  6. Step 6: Final answer
    x = 132,312.96

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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.