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Finding the Fourth Proportional to 272,720.81, 409,256.37 and 132,402.89

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Solution

The fourth proportional to 272,720.81, 409,256.37 and 132,402.89 is: 198,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,720.81 : 409,256.37 = 132,402.89 : x
  2. Step 2: Convert to fraction form
    272,720.81/409,256.37 = 132,402.89/x
  3. Step 3: Cross multiply
    272,720.81x = 409,256.37 × 132,402.89
  4. Step 4: Simplify right side
    272,720.81x = 54,186,724,092.63
  5. Step 5: Solve for x
    x = 54,186,724,092.63/272,720.81
  6. Step 6: Final answer
    x = 198,689.37

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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.