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Finding the Fourth Proportional to 394,909.46, 544,801.92 and 231,483.12

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Solution

The fourth proportional to 394,909.46, 544,801.92 and 231,483.12 is: 319,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,909.46 : 544,801.92 = 231,483.12 : x
  2. Step 2: Convert to fraction form
    394,909.46/544,801.92 = 231,483.12/x
  3. Step 3: Cross multiply
    394,909.46x = 544,801.92 × 231,483.12
  4. Step 4: Simplify right side
    394,909.46x = 126,112,448,223.59
  5. Step 5: Solve for x
    x = 126,112,448,223.59/394,909.46
  6. Step 6: Final answer
    x = 319,345.22

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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.