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Finding the Fourth Proportional to 412,201.60, 618,339.30 and 112,683.75

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Solution

The fourth proportional to 412,201.60, 618,339.30 and 112,683.75 is: 169,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,201.60 : 618,339.30 = 112,683.75 : x
  2. Step 2: Convert to fraction form
    412,201.60/618,339.30 = 112,683.75/x
  3. Step 3: Cross multiply
    412,201.60x = 618,339.30 × 112,683.75
  4. Step 4: Simplify right side
    412,201.60x = 69,676,791,096.38
  5. Step 5: Solve for x
    x = 69,676,791,096.38/412,201.60
  6. Step 6: Final answer
    x = 169,035.71

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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.