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Finding the Fourth Proportional to 298,891.78, 447,838.42 and 209,986.13

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Solution

The fourth proportional to 298,891.78, 447,838.42 and 209,986.13 is: 314,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,891.78 : 447,838.42 = 209,986.13 : x
  2. Step 2: Convert to fraction form
    298,891.78/447,838.42 = 209,986.13/x
  3. Step 3: Cross multiply
    298,891.78x = 447,838.42 × 209,986.13
  4. Step 4: Simplify right side
    298,891.78x = 94,039,856,409.92
  5. Step 5: Solve for x
    x = 94,039,856,409.92/298,891.78
  6. Step 6: Final answer
    x = 314,628.45

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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.