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Finding the Fourth Proportional to 497,992.50, 687,231.84 and 271,642.86

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Solution

The fourth proportional to 497,992.50, 687,231.84 and 271,642.86 is: 374,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,992.50 : 687,231.84 = 271,642.86 : x
  2. Step 2: Convert to fraction form
    497,992.50/687,231.84 = 271,642.86/x
  3. Step 3: Cross multiply
    497,992.50x = 687,231.84 × 271,642.86
  4. Step 4: Simplify right side
    497,992.50x = 186,681,622,500.66
  5. Step 5: Solve for x
    x = 186,681,622,500.66/497,992.50
  6. Step 6: Final answer
    x = 374,868.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.