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Finding the Fourth Proportional to 422,639.52, 633,337.20 and 185,765.28

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Solution

The fourth proportional to 422,639.52, 633,337.20 and 185,765.28 is: 278,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,639.52 : 633,337.20 = 185,765.28 : x
  2. Step 2: Convert to fraction form
    422,639.52/633,337.20 = 185,765.28/x
  3. Step 3: Cross multiply
    422,639.52x = 633,337.20 × 185,765.28
  4. Step 4: Simplify right side
    422,639.52x = 117,652,062,292.42
  5. Step 5: Solve for x
    x = 117,652,062,292.42/422,639.52
  6. Step 6: Final answer
    x = 278,374.49

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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.