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Finding the Fourth Proportional to 299,980.80, 449,746.56 and 100,185.12

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Solution

The fourth proportional to 299,980.80, 449,746.56 and 100,185.12 is: 150,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,980.80 : 449,746.56 = 100,185.12 : x
  2. Step 2: Convert to fraction form
    299,980.80/449,746.56 = 100,185.12/x
  3. Step 3: Cross multiply
    299,980.80x = 449,746.56 × 100,185.12
  4. Step 4: Simplify right side
    299,980.80x = 45,057,913,083.19
  5. Step 5: Solve for x
    x = 45,057,913,083.19/299,980.80
  6. Step 6: Final answer
    x = 150,202.66

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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.