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Finding the Fourth Proportional to 298,960.71, 448,439.17 and 109,434.28

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Solution

The fourth proportional to 298,960.71, 448,439.17 and 109,434.28 is: 164,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,960.71 : 448,439.17 = 109,434.28 : x
  2. Step 2: Convert to fraction form
    298,960.71/448,439.17 = 109,434.28/x
  3. Step 3: Cross multiply
    298,960.71x = 448,439.17 × 109,434.28
  4. Step 4: Simplify right side
    298,960.71x = 49,074,618,184.90
  5. Step 5: Solve for x
    x = 49,074,618,184.90/298,960.71
  6. Step 6: Final answer
    x = 164,150.73

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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.