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Finding the Fourth Proportional to 399,897.54, 551,857.25 and 218,609.42

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Solution

The fourth proportional to 399,897.54, 551,857.25 and 218,609.42 is: 301,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,897.54 : 551,857.25 = 218,609.42 : x
  2. Step 2: Convert to fraction form
    399,897.54/551,857.25 = 218,609.42/x
  3. Step 3: Cross multiply
    399,897.54x = 551,857.25 × 218,609.42
  4. Step 4: Simplify right side
    399,897.54x = 120,641,191,132.53
  5. Step 5: Solve for x
    x = 120,641,191,132.53/399,897.54
  6. Step 6: Final answer
    x = 301,680.25

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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.