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Finding the Fourth Proportional to 299,889.78, 413,859.02 and 163,932.95

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Solution

The fourth proportional to 299,889.78, 413,859.02 and 163,932.95 is: 226,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,889.78 : 413,859.02 = 163,932.95 : x
  2. Step 2: Convert to fraction form
    299,889.78/413,859.02 = 163,932.95/x
  3. Step 3: Cross multiply
    299,889.78x = 413,859.02 × 163,932.95
  4. Step 4: Simplify right side
    299,889.78x = 67,845,127,143.75
  5. Step 5: Solve for x
    x = 67,845,127,143.75/299,889.78
  6. Step 6: Final answer
    x = 226,233.54

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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.