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Finding the Fourth Proportional to 272,609.68, 409,089.48 and 132,291.76

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Solution

The fourth proportional to 272,609.68, 409,089.48 and 132,291.76 is: 198,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,609.68 : 409,089.48 = 132,291.76 : x
  2. Step 2: Convert to fraction form
    272,609.68/409,089.48 = 132,291.76/x
  3. Step 3: Cross multiply
    272,609.68x = 409,089.48 × 132,291.76
  4. Step 4: Simplify right side
    272,609.68x = 54,119,167,306.68
  5. Step 5: Solve for x
    x = 54,119,167,306.68/272,609.68
  6. Step 6: Final answer
    x = 198,522.54

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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.