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Finding the Fourth Proportional to 361,864.80, 542,408.40 and 137,138.40

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Solution

The fourth proportional to 361,864.80, 542,408.40 and 137,138.40 is: 205,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,864.80 : 542,408.40 = 137,138.40 : x
  2. Step 2: Convert to fraction form
    361,864.80/542,408.40 = 137,138.40/x
  3. Step 3: Cross multiply
    361,864.80x = 542,408.40 × 137,138.40
  4. Step 4: Simplify right side
    361,864.80x = 74,385,020,122.56
  5. Step 5: Solve for x
    x = 74,385,020,122.56/361,864.80
  6. Step 6: Final answer
    x = 205,560.25

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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.