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Finding the Fourth Proportional to 298,882.59, 448,420.81 and 178,920.86

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Solution

The fourth proportional to 298,882.59, 448,420.81 and 178,920.86 is: 268,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,882.59 : 448,420.81 = 178,920.86 : x
  2. Step 2: Convert to fraction form
    298,882.59/448,420.81 = 178,920.86/x
  3. Step 3: Cross multiply
    298,882.59x = 448,420.81 × 178,920.86
  4. Step 4: Simplify right side
    298,882.59x = 80,231,836,630.22
  5. Step 5: Solve for x
    x = 80,231,836,630.22/298,882.59
  6. Step 6: Final answer
    x = 268,439.31

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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.