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Finding the Fourth Proportional to 312,744, 431,584.29 and 169,500.36

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Solution

The fourth proportional to 312,744, 431,584.29 and 169,500.36 is: 233,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,744 : 431,584.29 = 169,500.36 : x
  2. Step 2: Convert to fraction form
    312,744/431,584.29 = 169,500.36/x
  3. Step 3: Cross multiply
    312,744x = 431,584.29 × 169,500.36
  4. Step 4: Simplify right side
    312,744x = 73,153,692,525.34
  5. Step 5: Solve for x
    x = 73,153,692,525.34/312,744
  6. Step 6: Final answer
    x = 233,909.18

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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.