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Finding the Fourth Proportional to 1,224,805.30, 1,836,961.20 and 769,193.06

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Solution

The fourth proportional to 1,224,805.30, 1,836,961.20 and 769,193.06 is: 1,153,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,805.30 : 1,836,961.20 = 769,193.06 : x
  2. Step 2: Convert to fraction form
    1,224,805.30/1,836,961.20 = 769,193.06/x
  3. Step 3: Cross multiply
    1,224,805.30x = 1,836,961.20 × 769,193.06
  4. Step 4: Simplify right side
    1,224,805.30x = 1,412,977,797,344.47
  5. Step 5: Solve for x
    x = 1,412,977,797,344.47/1,224,805.30
  6. Step 6: Final answer
    x = 1,153,634.62

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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.