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Finding the Fourth Proportional to 422,131.68, 633,330 and 185,673.12

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Solution

The fourth proportional to 422,131.68, 633,330 and 185,673.12 is: 278,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,131.68 : 633,330 = 185,673.12 : x
  2. Step 2: Convert to fraction form
    422,131.68/633,330 = 185,673.12/x
  3. Step 3: Cross multiply
    422,131.68x = 633,330 × 185,673.12
  4. Step 4: Simplify right side
    422,131.68x = 117,592,357,089.60
  5. Step 5: Solve for x
    x = 117,592,357,089.60/422,131.68
  6. Step 6: Final answer
    x = 278,567.95

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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.