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Finding the Fourth Proportional to 290,472.27, 400,889.32 and 163,147.86

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Solution

The fourth proportional to 290,472.27, 400,889.32 and 163,147.86 is: 225,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,472.27 : 400,889.32 = 163,147.86 : x
  2. Step 2: Convert to fraction form
    290,472.27/400,889.32 = 163,147.86/x
  3. Step 3: Cross multiply
    290,472.27x = 400,889.32 × 163,147.86
  4. Step 4: Simplify right side
    290,472.27x = 65,404,234,654.86
  5. Step 5: Solve for x
    x = 65,404,234,654.86/290,472.27
  6. Step 6: Final answer
    x = 225,165.16

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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.