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Finding the Fourth Proportional to 509,067.35, 763,699.23 and 193,499.58

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Solution

The fourth proportional to 509,067.35, 763,699.23 and 193,499.58 is: 290,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,067.35 : 763,699.23 = 193,499.58 : x
  2. Step 2: Convert to fraction form
    509,067.35/763,699.23 = 193,499.58/x
  3. Step 3: Cross multiply
    509,067.35x = 763,699.23 × 193,499.58
  4. Step 4: Simplify right side
    509,067.35x = 147,775,480,251.32
  5. Step 5: Solve for x
    x = 147,775,480,251.32/509,067.35
  6. Step 6: Final answer
    x = 290,286.70

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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.