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Finding the Fourth Proportional to 442,920.40, 664,380.60 and 162,401.20

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Solution

The fourth proportional to 442,920.40, 664,380.60 and 162,401.20 is: 243,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,920.40 : 664,380.60 = 162,401.20 : x
  2. Step 2: Convert to fraction form
    442,920.40/664,380.60 = 162,401.20/x
  3. Step 3: Cross multiply
    442,920.40x = 664,380.60 × 162,401.20
  4. Step 4: Simplify right side
    442,920.40x = 107,896,206,696.72
  5. Step 5: Solve for x
    x = 107,896,206,696.72/442,920.40
  6. Step 6: Final answer
    x = 243,601.80

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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.