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Finding the Fourth Proportional to 299,963.40, 413,949.72 and 163,995.18

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Solution

The fourth proportional to 299,963.40, 413,949.72 and 163,995.18 is: 226,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,963.40 : 413,949.72 = 163,995.18 : x
  2. Step 2: Convert to fraction form
    299,963.40/413,949.72 = 163,995.18/x
  3. Step 3: Cross multiply
    299,963.40x = 413,949.72 × 163,995.18
  4. Step 4: Simplify right side
    299,963.40x = 67,885,758,842.35
  5. Step 5: Solve for x
    x = 67,885,758,842.35/299,963.40
  6. Step 6: Final answer
    x = 226,313.47

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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.