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Finding the Fourth Proportional to 311,521.96, 467,276.22 and 86,876.40

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Solution

The fourth proportional to 311,521.96, 467,276.22 and 86,876.40 is: 130,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,521.96 : 467,276.22 = 86,876.40 : x
  2. Step 2: Convert to fraction form
    311,521.96/467,276.22 = 86,876.40/x
  3. Step 3: Cross multiply
    311,521.96x = 467,276.22 × 86,876.40
  4. Step 4: Simplify right side
    311,521.96x = 40,595,275,799.21
  5. Step 5: Solve for x
    x = 40,595,275,799.21/311,521.96
  6. Step 6: Final answer
    x = 130,312.73

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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.