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Finding the Fourth Proportional to 272,435.27, 408,718.52 and 85,446.77

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Solution

The fourth proportional to 272,435.27, 408,718.52 and 85,446.77 is: 128,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,435.27 : 408,718.52 = 85,446.77 : x
  2. Step 2: Convert to fraction form
    272,435.27/408,718.52 = 85,446.77/x
  3. Step 3: Cross multiply
    272,435.27x = 408,718.52 × 85,446.77
  4. Step 4: Simplify right side
    272,435.27x = 34,923,678,791.50
  5. Step 5: Solve for x
    x = 34,923,678,791.50/272,435.27
  6. Step 6: Final answer
    x = 128,190.74

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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.