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Finding the Fourth Proportional to 1,299,764.40, 1,947,022.20 and 738,142.80

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Solution

The fourth proportional to 1,299,764.40, 1,947,022.20 and 738,142.80 is: 1,105,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,764.40 : 1,947,022.20 = 738,142.80 : x
  2. Step 2: Convert to fraction form
    1,299,764.40/1,947,022.20 = 738,142.80/x
  3. Step 3: Cross multiply
    1,299,764.40x = 1,947,022.20 × 738,142.80
  4. Step 4: Simplify right side
    1,299,764.40x = 1,437,180,418,370.16
  5. Step 5: Solve for x
    x = 1,437,180,418,370.16/1,299,764.40
  6. Step 6: Final answer
    x = 1,105,723.79

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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.