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Finding the Fourth Proportional to 422,640.42, 583,242.57 and 231,653.22

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Solution

The fourth proportional to 422,640.42, 583,242.57 and 231,653.22 is: 319,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,640.42 : 583,242.57 = 231,653.22 : x
  2. Step 2: Convert to fraction form
    422,640.42/583,242.57 = 231,653.22/x
  3. Step 3: Cross multiply
    422,640.42x = 583,242.57 × 231,653.22
  4. Step 4: Simplify right side
    422,640.42x = 135,110,019,381.58
  5. Step 5: Solve for x
    x = 135,110,019,381.58/422,640.42
  6. Step 6: Final answer
    x = 319,680.78

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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.