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Finding the Fourth Proportional to 299,301.05, 413,044.15 and 163,343.74

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Solution

The fourth proportional to 299,301.05, 413,044.15 and 163,343.74 is: 225,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,301.05 : 413,044.15 = 163,343.74 : x
  2. Step 2: Convert to fraction form
    299,301.05/413,044.15 = 163,343.74/x
  3. Step 3: Cross multiply
    299,301.05x = 413,044.15 × 163,343.74
  4. Step 4: Simplify right side
    299,301.05x = 67,468,176,246.12
  5. Step 5: Solve for x
    x = 67,468,176,246.12/299,301.05
  6. Step 6: Final answer
    x = 225,419.11

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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.