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Finding the Fourth Proportional to 288,635.31, 398,317.31 and 161,310.90

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Solution

The fourth proportional to 288,635.31, 398,317.31 and 161,310.90 is: 222,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,635.31 : 398,317.31 = 161,310.90 : x
  2. Step 2: Convert to fraction form
    288,635.31/398,317.31 = 161,310.90/x
  3. Step 3: Cross multiply
    288,635.31x = 398,317.31 × 161,310.90
  4. Step 4: Simplify right side
    288,635.31x = 64,252,922,955.12
  5. Step 5: Solve for x
    x = 64,252,922,955.12/288,635.31
  6. Step 6: Final answer
    x = 222,609.36

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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.