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Finding the Fourth Proportional to 231,517.80, 346,758.30 and 190,045.80

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Solution

The fourth proportional to 231,517.80, 346,758.30 and 190,045.80 is: 284,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,517.80 : 346,758.30 = 190,045.80 : x
  2. Step 2: Convert to fraction form
    231,517.80/346,758.30 = 190,045.80/x
  3. Step 3: Cross multiply
    231,517.80x = 346,758.30 × 190,045.80
  4. Step 4: Simplify right side
    231,517.80x = 65,899,958,530.14
  5. Step 5: Solve for x
    x = 65,899,958,530.14/231,517.80
  6. Step 6: Final answer
    x = 284,643.16

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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.