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Finding the Fourth Proportional to 422,855.50, 583,846.86 and 272,214.94

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Solution

The fourth proportional to 422,855.50, 583,846.86 and 272,214.94 is: 375,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,855.50 : 583,846.86 = 272,214.94 : x
  2. Step 2: Convert to fraction form
    422,855.50/583,846.86 = 272,214.94/x
  3. Step 3: Cross multiply
    422,855.50x = 583,846.86 × 272,214.94
  4. Step 4: Simplify right side
    422,855.50x = 158,931,837,964.09
  5. Step 5: Solve for x
    x = 158,931,837,964.09/422,855.50
  6. Step 6: Final answer
    x = 375,853.78

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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.