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Finding the Fourth Proportional to 272,297.92, 408,447.06 and 85,324

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Solution

The fourth proportional to 272,297.92, 408,447.06 and 85,324 is: 127,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,297.92 : 408,447.06 = 85,324 : x
  2. Step 2: Convert to fraction form
    272,297.92/408,447.06 = 85,324/x
  3. Step 3: Cross multiply
    272,297.92x = 408,447.06 × 85,324
  4. Step 4: Simplify right side
    272,297.92x = 34,850,336,947.44
  5. Step 5: Solve for x
    x = 34,850,336,947.44/272,297.92
  6. Step 6: Final answer
    x = 127,986.06

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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.