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Finding the Fourth Proportional to 331,505.64, 497,332.74 and 121,138.20

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Solution

The fourth proportional to 331,505.64, 497,332.74 and 121,138.20 is: 181,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,505.64 : 497,332.74 = 121,138.20 : x
  2. Step 2: Convert to fraction form
    331,505.64/497,332.74 = 121,138.20/x
  3. Step 3: Cross multiply
    331,505.64x = 497,332.74 × 121,138.20
  4. Step 4: Simplify right side
    331,505.64x = 60,245,992,924.67
  5. Step 5: Solve for x
    x = 60,245,992,924.67/331,505.64
  6. Step 6: Final answer
    x = 181,734.44

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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.