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Finding the Fourth Proportional to 412,522.56, 618,784.38 and 113,005.80

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Solution

The fourth proportional to 412,522.56, 618,784.38 and 113,005.80 is: 169,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,522.56 : 618,784.38 = 113,005.80 : x
  2. Step 2: Convert to fraction form
    412,522.56/618,784.38 = 113,005.80/x
  3. Step 3: Cross multiply
    412,522.56x = 618,784.38 × 113,005.80
  4. Step 4: Simplify right side
    412,522.56x = 69,926,223,889.40
  5. Step 5: Solve for x
    x = 69,926,223,889.40/412,522.56
  6. Step 6: Final answer
    x = 169,508.85

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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.