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Finding the Fourth Proportional to 299,892.78, 413,863.16 and 163,935.95

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Solution

The fourth proportional to 299,892.78, 413,863.16 and 163,935.95 is: 226,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,892.78 : 413,863.16 = 163,935.95 : x
  2. Step 2: Convert to fraction form
    299,892.78/413,863.16 = 163,935.95/x
  3. Step 3: Cross multiply
    299,892.78x = 413,863.16 × 163,935.95
  4. Step 4: Simplify right side
    299,892.78x = 67,847,047,415.61
  5. Step 5: Solve for x
    x = 67,847,047,415.61/299,892.78
  6. Step 6: Final answer
    x = 226,237.68

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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.