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Finding the Fourth Proportional to 299,182.28, 448,361.78 and 128,199.31

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Solution

The fourth proportional to 299,182.28, 448,361.78 and 128,199.31 is: 192,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,182.28 : 448,361.78 = 128,199.31 : x
  2. Step 2: Convert to fraction form
    299,182.28/448,361.78 = 128,199.31/x
  3. Step 3: Cross multiply
    299,182.28x = 448,361.78 × 128,199.31
  4. Step 4: Simplify right side
    299,182.28x = 57,479,671,226.57
  5. Step 5: Solve for x
    x = 57,479,671,226.57/299,182.28
  6. Step 6: Final answer
    x = 192,122.58

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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.