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Finding the Fourth Proportional to 299,730.40, 413,623.06 and 163,761.42

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Solution

The fourth proportional to 299,730.40, 413,623.06 and 163,761.42 is: 225,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,730.40 : 413,623.06 = 163,761.42 : x
  2. Step 2: Convert to fraction form
    299,730.40/413,623.06 = 163,761.42/x
  3. Step 3: Cross multiply
    299,730.40x = 413,623.06 × 163,761.42
  4. Step 4: Simplify right side
    299,730.40x = 67,735,499,650.35
  5. Step 5: Solve for x
    x = 67,735,499,650.35/299,730.40
  6. Step 6: Final answer
    x = 225,988.09

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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.