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Finding the Fourth Proportional to 422,716.32, 583,362 and 231,728.04

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Solution

The fourth proportional to 422,716.32, 583,362 and 231,728.04 is: 319,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,716.32 : 583,362 = 231,728.04 : x
  2. Step 2: Convert to fraction form
    422,716.32/583,362 = 231,728.04/x
  3. Step 3: Cross multiply
    422,716.32x = 583,362 × 231,728.04
  4. Step 4: Simplify right side
    422,716.32x = 135,181,332,870.48
  5. Step 5: Solve for x
    x = 135,181,332,870.48/422,716.32
  6. Step 6: Final answer
    x = 319,792.08

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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.