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Finding the Fourth Proportional to 299,871.70, 449,807.55 and 78,255.70

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Solution

The fourth proportional to 299,871.70, 449,807.55 and 78,255.70 is: 117,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,871.70 : 449,807.55 = 78,255.70 : x
  2. Step 2: Convert to fraction form
    299,871.70/449,807.55 = 78,255.70/x
  3. Step 3: Cross multiply
    299,871.70x = 449,807.55 × 78,255.70
  4. Step 4: Simplify right side
    299,871.70x = 35,200,004,690.54
  5. Step 5: Solve for x
    x = 35,200,004,690.54/299,871.70
  6. Step 6: Final answer
    x = 117,383.55

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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.