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Finding the Fourth Proportional to 272,165.67, 407,375.01 and 145,489.14

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Solution

The fourth proportional to 272,165.67, 407,375.01 and 145,489.14 is: 217,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,165.67 : 407,375.01 = 145,489.14 : x
  2. Step 2: Convert to fraction form
    272,165.67/407,375.01 = 145,489.14/x
  3. Step 3: Cross multiply
    272,165.67x = 407,375.01 × 145,489.14
  4. Step 4: Simplify right side
    272,165.67x = 59,268,639,862.39
  5. Step 5: Solve for x
    x = 59,268,639,862.39/272,165.67
  6. Step 6: Final answer
    x = 217,766.77

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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.