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Finding the Fourth Proportional to 422,210.72, 633,342 and 185,664.80

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Solution

The fourth proportional to 422,210.72, 633,342 and 185,664.80 is: 278,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,210.72 : 633,342 = 185,664.80 : x
  2. Step 2: Convert to fraction form
    422,210.72/633,342 = 185,664.80/x
  3. Step 3: Cross multiply
    422,210.72x = 633,342 × 185,664.80
  4. Step 4: Simplify right side
    422,210.72x = 117,589,315,761.60
  5. Step 5: Solve for x
    x = 117,589,315,761.60/422,210.72
  6. Step 6: Final answer
    x = 278,508.60

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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.