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Finding the Fourth Proportional to 272,027.30, 408,040.95 and 161,435.30

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Solution

The fourth proportional to 272,027.30, 408,040.95 and 161,435.30 is: 242,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,027.30 : 408,040.95 = 161,435.30 : x
  2. Step 2: Convert to fraction form
    272,027.30/408,040.95 = 161,435.30/x
  3. Step 3: Cross multiply
    272,027.30x = 408,040.95 × 161,435.30
  4. Step 4: Simplify right side
    272,027.30x = 65,872,213,175.54
  5. Step 5: Solve for x
    x = 65,872,213,175.54/272,027.30
  6. Step 6: Final answer
    x = 242,152.95

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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.