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Finding the Fourth Proportional to 272,435.10, 408,652.65 and 85,446.30

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Solution

The fourth proportional to 272,435.10, 408,652.65 and 85,446.30 is: 128,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,435.10 : 408,652.65 = 85,446.30 : x
  2. Step 2: Convert to fraction form
    272,435.10/408,652.65 = 85,446.30/x
  3. Step 3: Cross multiply
    272,435.10x = 408,652.65 × 85,446.30
  4. Step 4: Simplify right side
    272,435.10x = 34,917,856,927.70
  5. Step 5: Solve for x
    x = 34,917,856,927.70/272,435.10
  6. Step 6: Final answer
    x = 128,169.45

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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.