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Finding the Fourth Proportional to 313,889.28, 433,171.92 and 170,649

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Solution

The fourth proportional to 313,889.28, 433,171.92 and 170,649 is: 235,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,889.28 : 433,171.92 = 170,649 : x
  2. Step 2: Convert to fraction form
    313,889.28/433,171.92 = 170,649/x
  3. Step 3: Cross multiply
    313,889.28x = 433,171.92 × 170,649
  4. Step 4: Simplify right side
    313,889.28x = 73,920,354,976.08
  5. Step 5: Solve for x
    x = 73,920,354,976.08/313,889.28
  6. Step 6: Final answer
    x = 235,498.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.