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Finding the Fourth Proportional to 313,565, 432,727.56 and 170,324.96

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Solution

The fourth proportional to 313,565, 432,727.56 and 170,324.96 is: 235,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,565 : 432,727.56 = 170,324.96 : x
  2. Step 2: Convert to fraction form
    313,565/432,727.56 = 170,324.96/x
  3. Step 3: Cross multiply
    313,565x = 432,727.56 × 170,324.96
  4. Step 4: Simplify right side
    313,565x = 73,704,304,347.90
  5. Step 5: Solve for x
    x = 73,704,304,347.90/313,565
  6. Step 6: Final answer
    x = 235,052.71

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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.