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Finding the Fourth Proportional to 273,431.88, 410,145.26 and 86,443.40

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Solution

The fourth proportional to 273,431.88, 410,145.26 and 86,443.40 is: 129,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,431.88 : 410,145.26 = 86,443.40 : x
  2. Step 2: Convert to fraction form
    273,431.88/410,145.26 = 86,443.40/x
  3. Step 3: Cross multiply
    273,431.88x = 410,145.26 × 86,443.40
  4. Step 4: Simplify right side
    273,431.88x = 35,454,350,768.28
  5. Step 5: Solve for x
    x = 35,454,350,768.28/273,431.88
  6. Step 6: Final answer
    x = 129,664.29

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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.