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Finding the Fourth Proportional to 340,151.96, 509,782.62 and 140,239.64

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Solution

The fourth proportional to 340,151.96, 509,782.62 and 140,239.64 is: 210,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,151.96 : 509,782.62 = 140,239.64 : x
  2. Step 2: Convert to fraction form
    340,151.96/509,782.62 = 140,239.64/x
  3. Step 3: Cross multiply
    340,151.96x = 509,782.62 × 140,239.64
  4. Step 4: Simplify right side
    340,151.96x = 71,491,731,107.06
  5. Step 5: Solve for x
    x = 71,491,731,107.06/340,151.96
  6. Step 6: Final answer
    x = 210,175.86

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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.