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Finding the Fourth Proportional to 313,488.96, 432,617.94 and 170,251.80

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Solution

The fourth proportional to 313,488.96, 432,617.94 and 170,251.80 is: 234,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,488.96 : 432,617.94 = 170,251.80 : x
  2. Step 2: Convert to fraction form
    313,488.96/432,617.94 = 170,251.80/x
  3. Step 3: Cross multiply
    313,488.96x = 432,617.94 × 170,251.80
  4. Step 4: Simplify right side
    313,488.96x = 73,653,982,997.29
  5. Step 5: Solve for x
    x = 73,653,982,997.29/313,488.96
  6. Step 6: Final answer
    x = 234,949.21

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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.