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Finding the Fourth Proportional to 272,778.72, 409,342.86 and 132,460.80

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Solution

The fourth proportional to 272,778.72, 409,342.86 and 132,460.80 is: 198,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,778.72 : 409,342.86 = 132,460.80 : x
  2. Step 2: Convert to fraction form
    272,778.72/409,342.86 = 132,460.80/x
  3. Step 3: Cross multiply
    272,778.72x = 409,342.86 × 132,460.80
  4. Step 4: Simplify right side
    272,778.72x = 54,221,882,709.89
  5. Step 5: Solve for x
    x = 54,221,882,709.89/272,778.72
  6. Step 6: Final answer
    x = 198,776.07

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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.