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Finding the Fourth Proportional to 361,797.91, 499,215.10 and 208,780.28

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Solution

The fourth proportional to 361,797.91, 499,215.10 and 208,780.28 is: 288,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,797.91 : 499,215.10 = 208,780.28 : x
  2. Step 2: Convert to fraction form
    361,797.91/499,215.10 = 208,780.28/x
  3. Step 3: Cross multiply
    361,797.91x = 499,215.10 × 208,780.28
  4. Step 4: Simplify right side
    361,797.91x = 104,226,268,358.23
  5. Step 5: Solve for x
    x = 104,226,268,358.23/361,797.91
  6. Step 6: Final answer
    x = 288,078.69

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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.