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Finding the Fourth Proportional to 299,813.55, 449,535.80 and 100,080.31

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Solution

The fourth proportional to 299,813.55, 449,535.80 and 100,080.31 is: 150,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,813.55 : 449,535.80 = 100,080.31 : x
  2. Step 2: Convert to fraction form
    299,813.55/449,535.80 = 100,080.31/x
  3. Step 3: Cross multiply
    299,813.55x = 449,535.80 × 100,080.31
  4. Step 4: Simplify right side
    299,813.55x = 44,989,681,626.39
  5. Step 5: Solve for x
    x = 44,989,681,626.39/299,813.55
  6. Step 6: Final answer
    x = 150,058.87

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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.