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Finding the Fourth Proportional to 843,937.92, 1,265,498.64 and 311,709.60

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Solution

The fourth proportional to 843,937.92, 1,265,498.64 and 311,709.60 is: 467,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,937.92 : 1,265,498.64 = 311,709.60 : x
  2. Step 2: Convert to fraction form
    843,937.92/1,265,498.64 = 311,709.60/x
  3. Step 3: Cross multiply
    843,937.92x = 1,265,498.64 × 311,709.60
  4. Step 4: Simplify right side
    843,937.92x = 394,468,074,874.94
  5. Step 5: Solve for x
    x = 394,468,074,874.94/843,937.92
  6. Step 6: Final answer
    x = 467,413.62

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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.