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Finding the Fourth Proportional to 494,996.40, 742,105.80 and 273,380.40

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Solution

The fourth proportional to 494,996.40, 742,105.80 and 273,380.40 is: 409,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,996.40 : 742,105.80 = 273,380.40 : x
  2. Step 2: Convert to fraction form
    494,996.40/742,105.80 = 273,380.40/x
  3. Step 3: Cross multiply
    494,996.40x = 742,105.80 × 273,380.40
  4. Step 4: Simplify right side
    494,996.40x = 202,877,180,446.32
  5. Step 5: Solve for x
    x = 202,877,180,446.32/494,996.40
  6. Step 6: Final answer
    x = 409,855.87

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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.