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Finding the Fourth Proportional to 299,765.81, 413,671.92 and 163,796.78

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Solution

The fourth proportional to 299,765.81, 413,671.92 and 163,796.78 is: 226,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,765.81 : 413,671.92 = 163,796.78 : x
  2. Step 2: Convert to fraction form
    299,765.81/413,671.92 = 163,796.78/x
  3. Step 3: Cross multiply
    299,765.81x = 413,671.92 × 163,796.78
  4. Step 4: Simplify right side
    299,765.81x = 67,758,128,472.42
  5. Step 5: Solve for x
    x = 67,758,128,472.42/299,765.81
  6. Step 6: Final answer
    x = 226,036.88

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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.