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Finding the Fourth Proportional to 285,808.98, 428,339.73 and 117,131.82

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Solution

The fourth proportional to 285,808.98, 428,339.73 and 117,131.82 is: 175,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,808.98 : 428,339.73 = 117,131.82 : x
  2. Step 2: Convert to fraction form
    285,808.98/428,339.73 = 117,131.82/x
  3. Step 3: Cross multiply
    285,808.98x = 428,339.73 × 117,131.82
  4. Step 4: Simplify right side
    285,808.98x = 50,172,212,153.21
  5. Step 5: Solve for x
    x = 50,172,212,153.21/285,808.98
  6. Step 6: Final answer
    x = 175,544.56

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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.