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Finding the Fourth Proportional to 288,961.26, 398,804.31 and 161,663.10

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Solution

The fourth proportional to 288,961.26, 398,804.31 and 161,663.10 is: 223,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,961.26 : 398,804.31 = 161,663.10 : x
  2. Step 2: Convert to fraction form
    288,961.26/398,804.31 = 161,663.10/x
  3. Step 3: Cross multiply
    288,961.26x = 398,804.31 × 161,663.10
  4. Step 4: Simplify right side
    288,961.26x = 64,471,941,047.96
  5. Step 5: Solve for x
    x = 64,471,941,047.96/288,961.26
  6. Step 6: Final answer
    x = 223,116.21

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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.