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Finding the Fourth Proportional to 299,943.96, 450,029.60 and 180,084.64

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Solution

The fourth proportional to 299,943.96, 450,029.60 and 180,084.64 is: 270,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,943.96 : 450,029.60 = 180,084.64 : x
  2. Step 2: Convert to fraction form
    299,943.96/450,029.60 = 180,084.64/x
  3. Step 3: Cross multiply
    299,943.96x = 450,029.60 × 180,084.64
  4. Step 4: Simplify right side
    299,943.96x = 81,043,418,505.34
  5. Step 5: Solve for x
    x = 81,043,418,505.34/299,943.96
  6. Step 6: Final answer
    x = 270,195.20

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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.