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Finding the Fourth Proportional to 272,427, 408,640.50 and 75,435

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Solution

The fourth proportional to 272,427, 408,640.50 and 75,435 is: 113,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,427 : 408,640.50 = 75,435 : x
  2. Step 2: Convert to fraction form
    272,427/408,640.50 = 75,435/x
  3. Step 3: Cross multiply
    272,427x = 408,640.50 × 75,435
  4. Step 4: Simplify right side
    272,427x = 30,825,796,117.50
  5. Step 5: Solve for x
    x = 30,825,796,117.50/272,427
  6. Step 6: Final answer
    x = 113,152.50

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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.