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Finding the Fourth Proportional to 299,729.73, 413,622.20 and 163,760.76

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Solution

The fourth proportional to 299,729.73, 413,622.20 and 163,760.76 is: 225,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,729.73 : 413,622.20 = 163,760.76 : x
  2. Step 2: Convert to fraction form
    299,729.73/413,622.20 = 163,760.76/x
  3. Step 3: Cross multiply
    299,729.73x = 413,622.20 × 163,760.76
  4. Step 4: Simplify right side
    299,729.73x = 67,735,085,006.07
  5. Step 5: Solve for x
    x = 67,735,085,006.07/299,729.73
  6. Step 6: Final answer
    x = 225,987.21

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1.5x scale

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.