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Finding the Fourth Proportional to 288,640.31, 398,324.21 and 161,315.90

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Solution

The fourth proportional to 288,640.31, 398,324.21 and 161,315.90 is: 222,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,640.31 : 398,324.21 = 161,315.90 : x
  2. Step 2: Convert to fraction form
    288,640.31/398,324.21 = 161,315.90/x
  3. Step 3: Cross multiply
    288,640.31x = 398,324.21 × 161,315.90
  4. Step 4: Simplify right side
    288,640.31x = 64,256,028,427.94
  5. Step 5: Solve for x
    x = 64,256,028,427.94/288,640.31
  6. Step 6: Final answer
    x = 222,616.27

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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.