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Finding the Fourth Proportional to 412,181.80, 618,215.10 and 131,727.40

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Solution

The fourth proportional to 412,181.80, 618,215.10 and 131,727.40 is: 197,572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,181.80 : 618,215.10 = 131,727.40 : x
  2. Step 2: Convert to fraction form
    412,181.80/618,215.10 = 131,727.40/x
  3. Step 3: Cross multiply
    412,181.80x = 618,215.10 × 131,727.40
  4. Step 4: Simplify right side
    412,181.80x = 81,435,867,763.74
  5. Step 5: Solve for x
    x = 81,435,867,763.74/412,181.80
  6. Step 6: Final answer
    x = 197,572.69

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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.