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Finding the Fourth Proportional to 422,760.63, 583,715.85 and 272,120.07

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Solution

The fourth proportional to 422,760.63, 583,715.85 and 272,120.07 is: 375,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,760.63 : 583,715.85 = 272,120.07 : x
  2. Step 2: Convert to fraction form
    422,760.63/583,715.85 = 272,120.07/x
  3. Step 3: Cross multiply
    422,760.63x = 583,715.85 × 272,120.07
  4. Step 4: Simplify right side
    422,760.63x = 158,840,797,962.11
  5. Step 5: Solve for x
    x = 158,840,797,962.11/422,760.63
  6. Step 6: Final answer
    x = 375,722.78

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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.