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Finding the Fourth Proportional to 412,434.84, 618,652.57 and 112,917.90

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Solution

The fourth proportional to 412,434.84, 618,652.57 and 112,917.90 is: 169,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,434.84 : 618,652.57 = 112,917.90 : x
  2. Step 2: Convert to fraction form
    412,434.84/618,652.57 = 112,917.90/x
  3. Step 3: Cross multiply
    412,434.84x = 618,652.57 × 112,917.90
  4. Step 4: Simplify right side
    412,434.84x = 69,856,949,034.00
  5. Step 5: Solve for x
    x = 69,856,949,034.00/412,434.84
  6. Step 6: Final answer
    x = 169,376.93

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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.