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Finding the Fourth Proportional to 422,205.01, 582,643.79 and 228,614.83

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Solution

The fourth proportional to 422,205.01, 582,643.79 and 228,614.83 is: 315,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,205.01 : 582,643.79 = 228,614.83 : x
  2. Step 2: Convert to fraction form
    422,205.01/582,643.79 = 228,614.83/x
  3. Step 3: Cross multiply
    422,205.01x = 582,643.79 × 228,614.83
  4. Step 4: Simplify right side
    422,205.01x = 133,201,011,001.41
  5. Step 5: Solve for x
    x = 133,201,011,001.41/422,205.01
  6. Step 6: Final answer
    x = 315,488.94

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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.