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Finding the Fourth Proportional to 422,665.50, 583,278.53 and 231,680.19

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Solution

The fourth proportional to 422,665.50, 583,278.53 and 231,680.19 is: 319,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,665.50 : 583,278.53 = 231,680.19 : x
  2. Step 2: Convert to fraction form
    422,665.50/583,278.53 = 231,680.19/x
  3. Step 3: Cross multiply
    422,665.50x = 583,278.53 × 231,680.19
  4. Step 4: Simplify right side
    422,665.50x = 135,134,079,494.92
  5. Step 5: Solve for x
    x = 135,134,079,494.92/422,665.50
  6. Step 6: Final answer
    x = 319,718.74

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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.