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Finding the Fourth Proportional to 299,274.80, 448,974.60 and 99,657.20

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Solution

The fourth proportional to 299,274.80, 448,974.60 and 99,657.20 is: 149,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,274.80 : 448,974.60 = 99,657.20 : x
  2. Step 2: Convert to fraction form
    299,274.80/448,974.60 = 99,657.20/x
  3. Step 3: Cross multiply
    299,274.80x = 448,974.60 × 99,657.20
  4. Step 4: Simplify right side
    299,274.80x = 44,743,551,507.12
  5. Step 5: Solve for x
    x = 44,743,551,507.12/299,274.80
  6. Step 6: Final answer
    x = 149,506.58

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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.