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Finding the Fourth Proportional to 422,578.46, 633,638.73 and 185,643.74

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Solution

The fourth proportional to 422,578.46, 633,638.73 and 185,643.74 is: 278,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,578.46 : 633,638.73 = 185,643.74 : x
  2. Step 2: Convert to fraction form
    422,578.46/633,638.73 = 185,643.74/x
  3. Step 3: Cross multiply
    422,578.46x = 633,638.73 × 185,643.74
  4. Step 4: Simplify right side
    422,578.46x = 117,631,063,646.05
  5. Step 5: Solve for x
    x = 117,631,063,646.05/422,578.46
  6. Step 6: Final answer
    x = 278,365.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.