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Finding the Fourth Proportional to 422,729.80, 583,389.48 and 231,751.24

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Solution

The fourth proportional to 422,729.80, 583,389.48 and 231,751.24 is: 319,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,729.80 : 583,389.48 = 231,751.24 : x
  2. Step 2: Convert to fraction form
    422,729.80/583,389.48 = 231,751.24/x
  3. Step 3: Cross multiply
    422,729.80x = 583,389.48 × 231,751.24
  4. Step 4: Simplify right side
    422,729.80x = 135,201,235,392.96
  5. Step 5: Solve for x
    x = 135,201,235,392.96/422,729.80
  6. Step 6: Final answer
    x = 319,828.97

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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.