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Finding the Fourth Proportional to 361,963.28, 499,532.94 and 209,007.92

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Solution

The fourth proportional to 361,963.28, 499,532.94 and 209,007.92 is: 288,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,963.28 : 499,532.94 = 209,007.92 : x
  2. Step 2: Convert to fraction form
    361,963.28/499,532.94 = 209,007.92/x
  3. Step 3: Cross multiply
    361,963.28x = 499,532.94 × 209,007.92
  4. Step 4: Simplify right side
    361,963.28x = 104,406,340,760.89
  5. Step 5: Solve for x
    x = 104,406,340,760.89/361,963.28
  6. Step 6: Final answer
    x = 288,444.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.