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Finding the Fourth Proportional to 299,280.40, 448,942.20 and 180,696.40

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Solution

The fourth proportional to 299,280.40, 448,942.20 and 180,696.40 is: 271,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,280.40 : 448,942.20 = 180,696.40 : x
  2. Step 2: Convert to fraction form
    299,280.40/448,942.20 = 180,696.40/x
  3. Step 3: Cross multiply
    299,280.40x = 448,942.20 × 180,696.40
  4. Step 4: Simplify right side
    299,280.40x = 81,122,239,348.08
  5. Step 5: Solve for x
    x = 81,122,239,348.08/299,280.40
  6. Step 6: Final answer
    x = 271,057.64

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1.5x scale

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.