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Finding the Fourth Proportional to 361,855.26, 499,318.83 and 208,892.84

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Solution

The fourth proportional to 361,855.26, 499,318.83 and 208,892.84 is: 288,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,855.26 : 499,318.83 = 208,892.84 : x
  2. Step 2: Convert to fraction form
    361,855.26/499,318.83 = 208,892.84/x
  3. Step 3: Cross multiply
    361,855.26x = 499,318.83 × 208,892.84
  4. Step 4: Simplify right side
    361,855.26x = 104,304,125,967.58
  5. Step 5: Solve for x
    x = 104,304,125,967.58/361,855.26
  6. Step 6: Final answer
    x = 288,248.20

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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.