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Finding the Fourth Proportional to 384,691.72, 577,115.34 and 131,963.08

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Solution

The fourth proportional to 384,691.72, 577,115.34 and 131,963.08 is: 197,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,691.72 : 577,115.34 = 131,963.08 : x
  2. Step 2: Convert to fraction form
    384,691.72/577,115.34 = 131,963.08/x
  3. Step 3: Cross multiply
    384,691.72x = 577,115.34 × 131,963.08
  4. Step 4: Simplify right side
    384,691.72x = 76,157,917,781.65
  5. Step 5: Solve for x
    x = 76,157,917,781.65/384,691.72
  6. Step 6: Final answer
    x = 197,971.29

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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.