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Finding the Fourth Proportional to 422,720.13, 583,340.22 and 231,729.42

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Solution

The fourth proportional to 422,720.13, 583,340.22 and 231,729.42 is: 319,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,720.13 : 583,340.22 = 231,729.42 : x
  2. Step 2: Convert to fraction form
    422,720.13/583,340.22 = 231,729.42/x
  3. Step 3: Cross multiply
    422,720.13x = 583,340.22 × 231,729.42
  4. Step 4: Simplify right side
    422,720.13x = 135,177,090,843.27
  5. Step 5: Solve for x
    x = 135,177,090,843.27/422,720.13
  6. Step 6: Final answer
    x = 319,779.17

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1.5x scale

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.