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Finding the Fourth Proportional to 412,275.56, 618,404.52 and 112,756.14

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Solution

The fourth proportional to 412,275.56, 618,404.52 and 112,756.14 is: 169,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,275.56 : 618,404.52 = 112,756.14 : x
  2. Step 2: Convert to fraction form
    412,275.56/618,404.52 = 112,756.14/x
  3. Step 3: Cross multiply
    412,275.56x = 618,404.52 × 112,756.14
  4. Step 4: Simplify right side
    412,275.56x = 69,728,906,633.75
  5. Step 5: Solve for x
    x = 69,728,906,633.75/412,275.56
  6. Step 6: Final answer
    x = 169,131.80

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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.