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Finding the Fourth Proportional to 305,353.78, 457,845.98 and 136,843

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Solution

The fourth proportional to 305,353.78, 457,845.98 and 136,843 is: 205,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,353.78 : 457,845.98 = 136,843 : x
  2. Step 2: Convert to fraction form
    305,353.78/457,845.98 = 136,843/x
  3. Step 3: Cross multiply
    305,353.78x = 457,845.98 × 136,843
  4. Step 4: Simplify right side
    305,353.78x = 62,653,017,441.14
  5. Step 5: Solve for x
    x = 62,653,017,441.14/305,353.78
  6. Step 6: Final answer
    x = 205,181.73

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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.