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Finding the Fourth Proportional to 331,690, 497,612.76 and 110,074

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Solution

The fourth proportional to 331,690, 497,612.76 and 110,074 is: 165,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,690 : 497,612.76 = 110,074 : x
  2. Step 2: Convert to fraction form
    331,690/497,612.76 = 110,074/x
  3. Step 3: Cross multiply
    331,690x = 497,612.76 × 110,074
  4. Step 4: Simplify right side
    331,690x = 54,774,226,944.24
  5. Step 5: Solve for x
    x = 54,774,226,944.24/331,690
  6. Step 6: Final answer
    x = 165,136.81

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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.