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Finding the Fourth Proportional to 800,416, 1,104,608.64 and 442,720

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Solution

The fourth proportional to 800,416, 1,104,608.64 and 442,720 is: 610,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,416 : 1,104,608.64 = 442,720 : x
  2. Step 2: Convert to fraction form
    800,416/1,104,608.64 = 442,720/x
  3. Step 3: Cross multiply
    800,416x = 1,104,608.64 × 442,720
  4. Step 4: Simplify right side
    800,416x = 489,032,337,100.80
  5. Step 5: Solve for x
    x = 489,032,337,100.80/800,416
  6. Step 6: Final answer
    x = 610,972.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.