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Finding the Fourth Proportional to 298,072.24, 411,131.46 and 202,412.86

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Solution

The fourth proportional to 298,072.24, 411,131.46 and 202,412.86 is: 279,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,072.24 : 411,131.46 = 202,412.86 : x
  2. Step 2: Convert to fraction form
    298,072.24/411,131.46 = 202,412.86/x
  3. Step 3: Cross multiply
    298,072.24x = 411,131.46 × 202,412.86
  4. Step 4: Simplify right side
    298,072.24x = 83,218,294,654.58
  5. Step 5: Solve for x
    x = 83,218,294,654.58/298,072.24
  6. Step 6: Final answer
    x = 279,188.34

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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.