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Finding the Fourth Proportional to 331,963.56, 497,690.10 and 171,867.86

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Solution

The fourth proportional to 331,963.56, 497,690.10 and 171,867.86 is: 257,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,963.56 : 497,690.10 = 171,867.86 : x
  2. Step 2: Convert to fraction form
    331,963.56/497,690.10 = 171,867.86/x
  3. Step 3: Cross multiply
    331,963.56x = 497,690.10 × 171,867.86
  4. Step 4: Simplify right side
    331,963.56x = 85,536,932,430.19
  5. Step 5: Solve for x
    x = 85,536,932,430.19/331,963.56
  6. Step 6: Final answer
    x = 257,669.64

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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.