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Finding the Fourth Proportional to 299,258.40, 448,680.24 and 112,219.68

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Solution

The fourth proportional to 299,258.40, 448,680.24 and 112,219.68 is: 168,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,258.40 : 448,680.24 = 112,219.68 : x
  2. Step 2: Convert to fraction form
    299,258.40/448,680.24 = 112,219.68/x
  3. Step 3: Cross multiply
    299,258.40x = 448,680.24 × 112,219.68
  4. Step 4: Simplify right side
    299,258.40x = 50,350,752,955.12
  5. Step 5: Solve for x
    x = 50,350,752,955.12/299,258.40
  6. Step 6: Final answer
    x = 168,251.76

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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.