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Finding the Fourth Proportional to 263,648.79, 363,833.52 and 142,787.31

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Solution

The fourth proportional to 263,648.79, 363,833.52 and 142,787.31 is: 197,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,648.79 : 363,833.52 = 142,787.31 : x
  2. Step 2: Convert to fraction form
    263,648.79/363,833.52 = 142,787.31/x
  3. Step 3: Cross multiply
    263,648.79x = 363,833.52 × 142,787.31
  4. Step 4: Simplify right side
    263,648.79x = 51,950,809,251.66
  5. Step 5: Solve for x
    x = 51,950,809,251.66/263,648.79
  6. Step 6: Final answer
    x = 197,045.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.