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Finding the Fourth Proportional to 422,908, 583,559.40 and 231,871.12

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Solution

The fourth proportional to 422,908, 583,559.40 and 231,871.12 is: 319,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,908 : 583,559.40 = 231,871.12 : x
  2. Step 2: Convert to fraction form
    422,908/583,559.40 = 231,871.12/x
  3. Step 3: Cross multiply
    422,908x = 583,559.40 × 231,871.12
  4. Step 4: Simplify right side
    422,908x = 135,310,571,664.53
  5. Step 5: Solve for x
    x = 135,310,571,664.53/422,908
  6. Step 6: Final answer
    x = 319,952.74

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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.