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Finding the Fourth Proportional to 273,638.76, 410,429.25 and 129,510.06

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Solution

The fourth proportional to 273,638.76, 410,429.25 and 129,510.06 is: 194,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,638.76 : 410,429.25 = 129,510.06 : x
  2. Step 2: Convert to fraction form
    273,638.76/410,429.25 = 129,510.06/x
  3. Step 3: Cross multiply
    273,638.76x = 410,429.25 × 129,510.06
  4. Step 4: Simplify right side
    273,638.76x = 53,154,716,793.26
  5. Step 5: Solve for x
    x = 53,154,716,793.26/273,638.76
  6. Step 6: Final answer
    x = 194,251.42

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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.