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Finding the Fourth Proportional to 412,246.70, 618,370.05 and 341,387.90

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Solution

The fourth proportional to 412,246.70, 618,370.05 and 341,387.90 is: 512,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,246.70 : 618,370.05 = 341,387.90 : x
  2. Step 2: Convert to fraction form
    412,246.70/618,370.05 = 341,387.90/x
  3. Step 3: Cross multiply
    412,246.70x = 618,370.05 × 341,387.90
  4. Step 4: Simplify right side
    412,246.70x = 211,104,052,792.40
  5. Step 5: Solve for x
    x = 211,104,052,792.40/412,246.70
  6. Step 6: Final answer
    x = 512,081.85

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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.