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Finding the Fourth Proportional to 394,487.40, 591,731.10 and 194,838.60

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Solution

The fourth proportional to 394,487.40, 591,731.10 and 194,838.60 is: 292,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,487.40 : 591,731.10 = 194,838.60 : x
  2. Step 2: Convert to fraction form
    394,487.40/591,731.10 = 194,838.60/x
  3. Step 3: Cross multiply
    394,487.40x = 591,731.10 × 194,838.60
  4. Step 4: Simplify right side
    394,487.40x = 115,292,059,100.46
  5. Step 5: Solve for x
    x = 115,292,059,100.46/394,487.40
  6. Step 6: Final answer
    x = 292,257.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.