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Finding the Fourth Proportional to 273,427.84, 410,139.30 and 86,439.40

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Solution

The fourth proportional to 273,427.84, 410,139.30 and 86,439.40 is: 129,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,427.84 : 410,139.30 = 86,439.40 : x
  2. Step 2: Convert to fraction form
    273,427.84/410,139.30 = 86,439.40/x
  3. Step 3: Cross multiply
    273,427.84x = 410,139.30 × 86,439.40
  4. Step 4: Simplify right side
    273,427.84x = 35,452,195,008.42
  5. Step 5: Solve for x
    x = 35,452,195,008.42/273,427.84
  6. Step 6: Final answer
    x = 129,658.32

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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.