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Finding the Fourth Proportional to 304,680.78, 420,232.86 and 197,167.86

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Solution

The fourth proportional to 304,680.78, 420,232.86 and 197,167.86 is: 271,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,680.78 : 420,232.86 = 197,167.86 : x
  2. Step 2: Convert to fraction form
    304,680.78/420,232.86 = 197,167.86/x
  3. Step 3: Cross multiply
    304,680.78x = 420,232.86 × 197,167.86
  4. Step 4: Simplify right side
    304,680.78x = 82,856,413,707.88
  5. Step 5: Solve for x
    x = 82,856,413,707.88/304,680.78
  6. Step 6: Final answer
    x = 271,945.00

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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.