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Finding the Fourth Proportional to 273,905.20, 410,857.80 and 198,672.40

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Solution

The fourth proportional to 273,905.20, 410,857.80 and 198,672.40 is: 298,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,905.20 : 410,857.80 = 198,672.40 : x
  2. Step 2: Convert to fraction form
    273,905.20/410,857.80 = 198,672.40/x
  3. Step 3: Cross multiply
    273,905.20x = 410,857.80 × 198,672.40
  4. Step 4: Simplify right side
    273,905.20x = 81,626,105,184.72
  5. Step 5: Solve for x
    x = 81,626,105,184.72/273,905.20
  6. Step 6: Final answer
    x = 298,008.60

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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.