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Finding the Fourth Proportional to 199,469.28, 299,145.36 and 164,321.76

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Solution

The fourth proportional to 199,469.28, 299,145.36 and 164,321.76 is: 246,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,469.28 : 299,145.36 = 164,321.76 : x
  2. Step 2: Convert to fraction form
    199,469.28/299,145.36 = 164,321.76/x
  3. Step 3: Cross multiply
    199,469.28x = 299,145.36 × 164,321.76
  4. Step 4: Simplify right side
    199,469.28x = 49,156,092,051.03
  5. Step 5: Solve for x
    x = 49,156,092,051.03/199,469.28
  6. Step 6: Final answer
    x = 246,434.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.