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Finding the Fourth Proportional to 331,766.72, 457,693.56 and 210,843.20

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Solution

The fourth proportional to 331,766.72, 457,693.56 and 210,843.20 is: 290,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,766.72 : 457,693.56 = 210,843.20 : x
  2. Step 2: Convert to fraction form
    331,766.72/457,693.56 = 210,843.20/x
  3. Step 3: Cross multiply
    331,766.72x = 457,693.56 × 210,843.20
  4. Step 4: Simplify right side
    331,766.72x = 96,501,574,809.79
  5. Step 5: Solve for x
    x = 96,501,574,809.79/331,766.72
  6. Step 6: Final answer
    x = 290,871.78

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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.