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Finding the Fourth Proportional to 399,945.12, 551,939 and 218,669.12

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Solution

The fourth proportional to 399,945.12, 551,939 and 218,669.12 is: 301,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,945.12 : 551,939 = 218,669.12 : x
  2. Step 2: Convert to fraction form
    399,945.12/551,939 = 218,669.12/x
  3. Step 3: Cross multiply
    399,945.12x = 551,939 × 218,669.12
  4. Step 4: Simplify right side
    399,945.12x = 120,692,015,423.68
  5. Step 5: Solve for x
    x = 120,692,015,423.68/399,945.12
  6. Step 6: Final answer
    x = 301,771.44

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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.