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Finding the Fourth Proportional to 278,324.78, 384,287.92 and 171,038.66

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Solution

The fourth proportional to 278,324.78, 384,287.92 and 171,038.66 is: 236,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,324.78 : 384,287.92 = 171,038.66 : x
  2. Step 2: Convert to fraction form
    278,324.78/384,287.92 = 171,038.66/x
  3. Step 3: Cross multiply
    278,324.78x = 384,287.92 × 171,038.66
  4. Step 4: Simplify right side
    278,324.78x = 65,728,090,890.99
  5. Step 5: Solve for x
    x = 65,728,090,890.99/278,324.78
  6. Step 6: Final answer
    x = 236,156.09

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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.