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Finding the Fourth Proportional to 412,215.85, 618,325.17 and 145,984.14

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Solution

The fourth proportional to 412,215.85, 618,325.17 and 145,984.14 is: 218,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,215.85 : 618,325.17 = 145,984.14 : x
  2. Step 2: Convert to fraction form
    412,215.85/618,325.17 = 145,984.14/x
  3. Step 3: Cross multiply
    412,215.85x = 618,325.17 × 145,984.14
  4. Step 4: Simplify right side
    412,215.85x = 90,265,667,635.36
  5. Step 5: Solve for x
    x = 90,265,667,635.36/412,215.85
  6. Step 6: Final answer
    x = 218,976.70

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1.5x scale

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.