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Finding the Fourth Proportional to 311,921.80, 467,882.70 and 292,238.80

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Solution

The fourth proportional to 311,921.80, 467,882.70 and 292,238.80 is: 438,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,921.80 : 467,882.70 = 292,238.80 : x
  2. Step 2: Convert to fraction form
    311,921.80/467,882.70 = 292,238.80/x
  3. Step 3: Cross multiply
    311,921.80x = 467,882.70 × 292,238.80
  4. Step 4: Simplify right side
    311,921.80x = 136,733,478,788.76
  5. Step 5: Solve for x
    x = 136,733,478,788.76/311,921.80
  6. Step 6: Final answer
    x = 438,358.20

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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.