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Finding the Fourth Proportional to 272,402.40, 408,085.20 and 161,464.80

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Solution

The fourth proportional to 272,402.40, 408,085.20 and 161,464.80 is: 241,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,402.40 : 408,085.20 = 161,464.80 : x
  2. Step 2: Convert to fraction form
    272,402.40/408,085.20 = 161,464.80/x
  3. Step 3: Cross multiply
    272,402.40x = 408,085.20 × 161,464.80
  4. Step 4: Simplify right side
    272,402.40x = 65,891,395,200.96
  5. Step 5: Solve for x
    x = 65,891,395,200.96/272,402.40
  6. Step 6: Final answer
    x = 241,889.92

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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.