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Finding the Fourth Proportional to 821,805, 1,232,707.50 and 222,766.16

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Solution

The fourth proportional to 821,805, 1,232,707.50 and 222,766.16 is: 334,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,805 : 1,232,707.50 = 222,766.16 : x
  2. Step 2: Convert to fraction form
    821,805/1,232,707.50 = 222,766.16/x
  3. Step 3: Cross multiply
    821,805x = 1,232,707.50 × 222,766.16
  4. Step 4: Simplify right side
    821,805x = 274,605,510,014.66
  5. Step 5: Solve for x
    x = 274,605,510,014.66/821,805
  6. Step 6: Final answer
    x = 334,149.23

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1.5x scale

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.