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Finding the Fourth Proportional to 422,864.56, 583,859.34 and 272,224

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Solution

The fourth proportional to 422,864.56, 583,859.34 and 272,224 is: 375,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,864.56 : 583,859.34 = 272,224 : x
  2. Step 2: Convert to fraction form
    422,864.56/583,859.34 = 272,224/x
  3. Step 3: Cross multiply
    422,864.56x = 583,859.34 × 272,224
  4. Step 4: Simplify right side
    422,864.56x = 158,940,524,972.16
  5. Step 5: Solve for x
    x = 158,940,524,972.16/422,864.56
  6. Step 6: Final answer
    x = 375,866.27

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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.