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Finding the Fourth Proportional to 442,884.42, 664,432.02 and 143,364.96

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Solution

The fourth proportional to 442,884.42, 664,432.02 and 143,364.96 is: 215,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,884.42 : 664,432.02 = 143,364.96 : x
  2. Step 2: Convert to fraction form
    442,884.42/664,432.02 = 143,364.96/x
  3. Step 3: Cross multiply
    442,884.42x = 664,432.02 × 143,364.96
  4. Step 4: Simplify right side
    442,884.42x = 95,256,269,970.02
  5. Step 5: Solve for x
    x = 95,256,269,970.02/442,884.42
  6. Step 6: Final answer
    x = 215,081.56

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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.