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Finding the Fourth Proportional to 394,429.86, 591,177.56 and 181,017.86

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Solution

The fourth proportional to 394,429.86, 591,177.56 and 181,017.86 is: 271,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,429.86 : 591,177.56 = 181,017.86 : x
  2. Step 2: Convert to fraction form
    394,429.86/591,177.56 = 181,017.86/x
  3. Step 3: Cross multiply
    394,429.86x = 591,177.56 × 181,017.86
  4. Step 4: Simplify right side
    394,429.86x = 107,013,692,930.25
  5. Step 5: Solve for x
    x = 107,013,692,930.25/394,429.86
  6. Step 6: Final answer
    x = 271,312.35

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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.