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Finding the Fourth Proportional to 442,224.90, 661,806.45 and 264,859.20

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Solution

The fourth proportional to 442,224.90, 661,806.45 and 264,859.20 is: 396,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,224.90 : 661,806.45 = 264,859.20 : x
  2. Step 2: Convert to fraction form
    442,224.90/661,806.45 = 264,859.20/x
  3. Step 3: Cross multiply
    442,224.90x = 661,806.45 × 264,859.20
  4. Step 4: Simplify right side
    442,224.90x = 175,285,526,901.84
  5. Step 5: Solve for x
    x = 175,285,526,901.84/442,224.90
  6. Step 6: Final answer
    x = 396,371.91

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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.