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Finding the Fourth Proportional to 399,466.96, 551,251.92 and 218,176

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Solution

The fourth proportional to 399,466.96, 551,251.92 and 218,176 is: 301,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,466.96 : 551,251.92 = 218,176 : x
  2. Step 2: Convert to fraction form
    399,466.96/551,251.92 = 218,176/x
  3. Step 3: Cross multiply
    399,466.96x = 551,251.92 × 218,176
  4. Step 4: Simplify right side
    399,466.96x = 120,269,938,897.92
  5. Step 5: Solve for x
    x = 120,269,938,897.92/399,466.96
  6. Step 6: Final answer
    x = 301,076.06

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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.