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Finding the Fourth Proportional to 442,087.60, 663,197.24 and 157,756

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Solution

The fourth proportional to 442,087.60, 663,197.24 and 157,756 is: 236,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,087.60 : 663,197.24 = 157,756 : x
  2. Step 2: Convert to fraction form
    442,087.60/663,197.24 = 157,756/x
  3. Step 3: Cross multiply
    442,087.60x = 663,197.24 × 157,756
  4. Step 4: Simplify right side
    442,087.60x = 104,623,343,793.44
  5. Step 5: Solve for x
    x = 104,623,343,793.44/442,087.60
  6. Step 6: Final answer
    x = 236,657.49

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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.