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Finding the Fourth Proportional to 361,949.90, 499,514.53 and 208,994.54

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Solution

The fourth proportional to 361,949.90, 499,514.53 and 208,994.54 is: 288,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,949.90 : 499,514.53 = 208,994.54 : x
  2. Step 2: Convert to fraction form
    361,949.90/499,514.53 = 208,994.54/x
  3. Step 3: Cross multiply
    361,949.90x = 499,514.53 × 208,994.54
  4. Step 4: Simplify right side
    361,949.90x = 104,395,811,322.56
  5. Step 5: Solve for x
    x = 104,395,811,322.56/361,949.90
  6. Step 6: Final answer
    x = 288,426.13

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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.