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Finding the Fourth Proportional to 290,427.78, 400,785.27 and 161,367.43

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Solution

The fourth proportional to 290,427.78, 400,785.27 and 161,367.43 is: 222,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,427.78 : 400,785.27 = 161,367.43 : x
  2. Step 2: Convert to fraction form
    290,427.78/400,785.27 = 161,367.43/x
  3. Step 3: Cross multiply
    290,427.78x = 400,785.27 × 161,367.43
  4. Step 4: Simplify right side
    290,427.78x = 64,673,689,001.76
  5. Step 5: Solve for x
    x = 64,673,689,001.76/290,427.78
  6. Step 6: Final answer
    x = 222,684.24

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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.