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Finding the Fourth Proportional to 412,202.20, 618,376.20 and 146,117.20

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Solution

The fourth proportional to 412,202.20, 618,376.20 and 146,117.20 is: 219,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,202.20 : 618,376.20 = 146,117.20 : x
  2. Step 2: Convert to fraction form
    412,202.20/618,376.20 = 146,117.20/x
  3. Step 3: Cross multiply
    412,202.20x = 618,376.20 × 146,117.20
  4. Step 4: Simplify right side
    412,202.20x = 90,355,398,890.64
  5. Step 5: Solve for x
    x = 90,355,398,890.64/412,202.20
  6. Step 6: Final answer
    x = 219,201.64

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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.