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Finding the Fourth Proportional to 311,542.80, 467,272.66 and 86,884.42

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Solution

The fourth proportional to 311,542.80, 467,272.66 and 86,884.42 is: 130,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,542.80 : 467,272.66 = 86,884.42 : x
  2. Step 2: Convert to fraction form
    311,542.80/467,272.66 = 86,884.42/x
  3. Step 3: Cross multiply
    311,542.80x = 467,272.66 × 86,884.42
  4. Step 4: Simplify right side
    311,542.80x = 40,598,714,045.96
  5. Step 5: Solve for x
    x = 40,598,714,045.96/311,542.80
  6. Step 6: Final answer
    x = 130,315.05

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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.