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Finding the Fourth Proportional to 273,357.84, 410,034.32 and 86,369.36

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Solution

The fourth proportional to 273,357.84, 410,034.32 and 86,369.36 is: 129,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,357.84 : 410,034.32 = 86,369.36 : x
  2. Step 2: Convert to fraction form
    273,357.84/410,034.32 = 86,369.36/x
  3. Step 3: Cross multiply
    273,357.84x = 410,034.32 × 86,369.36
  4. Step 4: Simplify right side
    273,357.84x = 35,414,401,796.44
  5. Step 5: Solve for x
    x = 35,414,401,796.44/273,357.84
  6. Step 6: Final answer
    x = 129,553.27

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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.