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Finding the Fourth Proportional to 498,171.86, 687,492.34 and 283,342.86

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Solution

The fourth proportional to 498,171.86, 687,492.34 and 283,342.86 is: 391,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,171.86 : 687,492.34 = 283,342.86 : x
  2. Step 2: Convert to fraction form
    498,171.86/687,492.34 = 283,342.86/x
  3. Step 3: Cross multiply
    498,171.86x = 687,492.34 × 283,342.86
  4. Step 4: Simplify right side
    498,171.86x = 194,796,045,843.69
  5. Step 5: Solve for x
    x = 194,796,045,843.69/498,171.86
  6. Step 6: Final answer
    x = 391,021.78

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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.