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Finding the Fourth Proportional to 394,427.40, 591,641.10 and 194,843.40

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Solution

The fourth proportional to 394,427.40, 591,641.10 and 194,843.40 is: 292,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,427.40 : 591,641.10 = 194,843.40 : x
  2. Step 2: Convert to fraction form
    394,427.40/591,641.10 = 194,843.40/x
  3. Step 3: Cross multiply
    394,427.40x = 591,641.10 × 194,843.40
  4. Step 4: Simplify right side
    394,427.40x = 115,277,363,503.74
  5. Step 5: Solve for x
    x = 115,277,363,503.74/394,427.40
  6. Step 6: Final answer
    x = 292,265.10

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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.