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Finding the Fourth Proportional to 299,704.28, 449,586.54 and 86,477.48

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Solution

The fourth proportional to 299,704.28, 449,586.54 and 86,477.48 is: 129,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,704.28 : 449,586.54 = 86,477.48 : x
  2. Step 2: Convert to fraction form
    299,704.28/449,586.54 = 86,477.48/x
  3. Step 3: Cross multiply
    299,704.28x = 449,586.54 × 86,477.48
  4. Step 4: Simplify right side
    299,704.28x = 38,879,111,021.12
  5. Step 5: Solve for x
    x = 38,879,111,021.12/299,704.28
  6. Step 6: Final answer
    x = 129,724.91

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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.