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Finding the Fourth Proportional to 442,416.80, 663,625.20 and 162,135.20

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Solution

The fourth proportional to 442,416.80, 663,625.20 and 162,135.20 is: 243,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,416.80 : 663,625.20 = 162,135.20 : x
  2. Step 2: Convert to fraction form
    442,416.80/663,625.20 = 162,135.20/x
  3. Step 3: Cross multiply
    442,416.80x = 663,625.20 × 162,135.20
  4. Step 4: Simplify right side
    442,416.80x = 107,597,004,527.04
  5. Step 5: Solve for x
    x = 107,597,004,527.04/442,416.80
  6. Step 6: Final answer
    x = 243,202.80

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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.