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Finding the Fourth Proportional to 298,757.12, 412,007.88 and 218,056.82

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Solution

The fourth proportional to 298,757.12, 412,007.88 and 218,056.82 is: 300,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,757.12 : 412,007.88 = 218,056.82 : x
  2. Step 2: Convert to fraction form
    298,757.12/412,007.88 = 218,056.82/x
  3. Step 3: Cross multiply
    298,757.12x = 412,007.88 × 218,056.82
  4. Step 4: Simplify right side
    298,757.12x = 89,841,128,127.74
  5. Step 5: Solve for x
    x = 89,841,128,127.74/298,757.12
  6. Step 6: Final answer
    x = 300,716.27

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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.