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Finding the Fourth Proportional to 298,850.90, 448,276.35 and 111,838.10

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Solution

The fourth proportional to 298,850.90, 448,276.35 and 111,838.10 is: 167,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,850.90 : 448,276.35 = 111,838.10 : x
  2. Step 2: Convert to fraction form
    298,850.90/448,276.35 = 111,838.10/x
  3. Step 3: Cross multiply
    298,850.90x = 448,276.35 × 111,838.10
  4. Step 4: Simplify right side
    298,850.90x = 50,134,375,258.94
  5. Step 5: Solve for x
    x = 50,134,375,258.94/298,850.90
  6. Step 6: Final answer
    x = 167,757.15

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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.