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Finding the Fourth Proportional to 399,609.64, 551,499.45 and 218,349.14

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Solution

The fourth proportional to 399,609.64, 551,499.45 and 218,349.14 is: 301,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,609.64 : 551,499.45 = 218,349.14 : x
  2. Step 2: Convert to fraction form
    399,609.64/551,499.45 = 218,349.14/x
  3. Step 3: Cross multiply
    399,609.64x = 551,499.45 × 218,349.14
  4. Step 4: Simplify right side
    399,609.64x = 120,419,430,617.97
  5. Step 5: Solve for x
    x = 120,419,430,617.97/399,609.64
  6. Step 6: Final answer
    x = 301,342.66

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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.