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Finding the Fourth Proportional to 252,407.88, 378,568.08 and 65,419.38

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Solution

The fourth proportional to 252,407.88, 378,568.08 and 65,419.38 is: 98,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407.88 : 378,568.08 = 65,419.38 : x
  2. Step 2: Convert to fraction form
    252,407.88/378,568.08 = 65,419.38/x
  3. Step 3: Cross multiply
    252,407.88x = 378,568.08 × 65,419.38
  4. Step 4: Simplify right side
    252,407.88x = 24,765,689,081.39
  5. Step 5: Solve for x
    x = 24,765,689,081.39/252,407.88
  6. Step 6: Final answer
    x = 98,117.73

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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.