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Finding the Fourth Proportional to 422,807.31, 583,469.73 and 231,820.38

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Solution

The fourth proportional to 422,807.31, 583,469.73 and 231,820.38 is: 319,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,807.31 : 583,469.73 = 231,820.38 : x
  2. Step 2: Convert to fraction form
    422,807.31/583,469.73 = 231,820.38/x
  3. Step 3: Cross multiply
    422,807.31x = 583,469.73 × 231,820.38
  4. Step 4: Simplify right side
    422,807.31x = 135,260,174,527.10
  5. Step 5: Solve for x
    x = 135,260,174,527.10/422,807.31
  6. Step 6: Final answer
    x = 319,909.74

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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.