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Finding the Fourth Proportional to 305,354.78, 457,847.48 and 136,844

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Solution

The fourth proportional to 305,354.78, 457,847.48 and 136,844 is: 205,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,354.78 : 457,847.48 = 136,844 : x
  2. Step 2: Convert to fraction form
    305,354.78/457,847.48 = 136,844/x
  3. Step 3: Cross multiply
    305,354.78x = 457,847.48 × 136,844
  4. Step 4: Simplify right side
    305,354.78x = 62,653,680,553.12
  5. Step 5: Solve for x
    x = 62,653,680,553.12/305,354.78
  6. Step 6: Final answer
    x = 205,183.23

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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.