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Finding the Fourth Proportional to 412,710.40, 618,705.60 and 160,163.20

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Solution

The fourth proportional to 412,710.40, 618,705.60 and 160,163.20 is: 240,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,710.40 : 618,705.60 = 160,163.20 : x
  2. Step 2: Convert to fraction form
    412,710.40/618,705.60 = 160,163.20/x
  3. Step 3: Cross multiply
    412,710.40x = 618,705.60 × 160,163.20
  4. Step 4: Simplify right side
    412,710.40x = 99,093,868,753.92
  5. Step 5: Solve for x
    x = 99,093,868,753.92/412,710.40
  6. Step 6: Final answer
    x = 240,105.09

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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.