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Finding the Fourth Proportional to 442,021.89, 663,027.96 and 264,578.43

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Solution

The fourth proportional to 442,021.89, 663,027.96 and 264,578.43 is: 396,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,021.89 : 663,027.96 = 264,578.43 : x
  2. Step 2: Convert to fraction form
    442,021.89/663,027.96 = 264,578.43/x
  3. Step 3: Cross multiply
    442,021.89x = 663,027.96 × 264,578.43
  4. Step 4: Simplify right side
    442,021.89x = 175,422,896,702.90
  5. Step 5: Solve for x
    x = 175,422,896,702.90/442,021.89
  6. Step 6: Final answer
    x = 396,864.73

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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.