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Finding the Fourth Proportional to 340,150.96, 509,781.12 and 140,238.64

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Solution

The fourth proportional to 340,150.96, 509,781.12 and 140,238.64 is: 210,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,150.96 : 509,781.12 = 140,238.64 : x
  2. Step 2: Convert to fraction form
    340,150.96/509,781.12 = 140,238.64/x
  3. Step 3: Cross multiply
    340,150.96x = 509,781.12 × 140,238.64
  4. Step 4: Simplify right side
    340,150.96x = 71,491,010,966.48
  5. Step 5: Solve for x
    x = 71,491,010,966.48/340,150.96
  6. Step 6: Final answer
    x = 210,174.36

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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.