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Finding the Fourth Proportional to 311,352.56, 467,029.29 and 86,713.64

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Solution

The fourth proportional to 311,352.56, 467,029.29 and 86,713.64 is: 130,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,352.56 : 467,029.29 = 86,713.64 : x
  2. Step 2: Convert to fraction form
    311,352.56/467,029.29 = 86,713.64/x
  3. Step 3: Cross multiply
    311,352.56x = 467,029.29 × 86,713.64
  4. Step 4: Simplify right side
    311,352.56x = 40,497,809,463.91
  5. Step 5: Solve for x
    x = 40,497,809,463.91/311,352.56
  6. Step 6: Final answer
    x = 130,070.59

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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.