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Finding the Fourth Proportional to 399,449.92, 551,216.49 and 218,125

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Solution

The fourth proportional to 399,449.92, 551,216.49 and 218,125 is: 300,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,449.92 : 551,216.49 = 218,125 : x
  2. Step 2: Convert to fraction form
    399,449.92/551,216.49 = 218,125/x
  3. Step 3: Cross multiply
    399,449.92x = 551,216.49 × 218,125
  4. Step 4: Simplify right side
    399,449.92x = 120,234,096,881.25
  5. Step 5: Solve for x
    x = 120,234,096,881.25/399,449.92
  6. Step 6: Final answer
    x = 300,999.18

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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.