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Finding the Fourth Proportional to 458,523.92, 687,922.57 and 218,817.79

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Solution

The fourth proportional to 458,523.92, 687,922.57 and 218,817.79 is: 328,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,523.92 : 687,922.57 = 218,817.79 : x
  2. Step 2: Convert to fraction form
    458,523.92/687,922.57 = 218,817.79/x
  3. Step 3: Cross multiply
    458,523.92x = 687,922.57 × 218,817.79
  4. Step 4: Simplify right side
    458,523.92x = 150,529,695,012.24
  5. Step 5: Solve for x
    x = 150,529,695,012.24/458,523.92
  6. Step 6: Final answer
    x = 328,291.91

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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.