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Finding the Fourth Proportional to 422,758.80, 583,443.90 and 231,809.40

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Solution

The fourth proportional to 422,758.80, 583,443.90 and 231,809.40 is: 319,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,758.80 : 583,443.90 = 231,809.40 : x
  2. Step 2: Convert to fraction form
    422,758.80/583,443.90 = 231,809.40/x
  3. Step 3: Cross multiply
    422,758.80x = 583,443.90 × 231,809.40
  4. Step 4: Simplify right side
    422,758.80x = 135,247,780,392.66
  5. Step 5: Solve for x
    x = 135,247,780,392.66/422,758.80
  6. Step 6: Final answer
    x = 319,917.13

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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.