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Finding the Fourth Proportional to 431,616.42, 646,169.84 and 251,151.85

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Solution

The fourth proportional to 431,616.42, 646,169.84 and 251,151.85 is: 375,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,616.42 : 646,169.84 = 251,151.85 : x
  2. Step 2: Convert to fraction form
    431,616.42/646,169.84 = 251,151.85/x
  3. Step 3: Cross multiply
    431,616.42x = 646,169.84 × 251,151.85
  4. Step 4: Simplify right side
    431,616.42x = 162,286,749,474.45
  5. Step 5: Solve for x
    x = 162,286,749,474.45/431,616.42
  6. Step 6: Final answer
    x = 375,997.63

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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.