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Finding the Fourth Proportional to 275,404.66, 412,774.78 and 142,212.31

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Solution

The fourth proportional to 275,404.66, 412,774.78 and 142,212.31 is: 213,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,404.66 : 412,774.78 = 142,212.31 : x
  2. Step 2: Convert to fraction form
    275,404.66/412,774.78 = 142,212.31/x
  3. Step 3: Cross multiply
    275,404.66x = 412,774.78 × 142,212.31
  4. Step 4: Simplify right side
    275,404.66x = 58,701,653,586.07
  5. Step 5: Solve for x
    x = 58,701,653,586.07/275,404.66
  6. Step 6: Final answer
    x = 213,146.92

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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.