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Finding the Fourth Proportional to 290,546.52, 400,951.78 and 163,219.38

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Solution

The fourth proportional to 290,546.52, 400,951.78 and 163,219.38 is: 225,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,546.52 : 400,951.78 = 163,219.38 : x
  2. Step 2: Convert to fraction form
    290,546.52/400,951.78 = 163,219.38/x
  3. Step 3: Cross multiply
    290,546.52x = 400,951.78 × 163,219.38
  4. Step 4: Simplify right side
    290,546.52x = 65,443,100,941.50
  5. Step 5: Solve for x
    x = 65,443,100,941.50/290,546.52
  6. Step 6: Final answer
    x = 225,241.39

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1.5x scale

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.