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Finding the Fourth Proportional to 804,448, 1,206,671.34 and 205,409.26

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Solution

The fourth proportional to 804,448, 1,206,671.34 and 205,409.26 is: 308,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,448 : 1,206,671.34 = 205,409.26 : x
  2. Step 2: Convert to fraction form
    804,448/1,206,671.34 = 205,409.26/x
  3. Step 3: Cross multiply
    804,448x = 1,206,671.34 × 205,409.26
  4. Step 4: Simplify right side
    804,448x = 247,861,467,012.61
  5. Step 5: Solve for x
    x = 247,861,467,012.61/804,448
  6. Step 6: Final answer
    x = 308,113.72

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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.