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Finding the Fourth Proportional to 299,390.78, 413,148.92 and 178,469.76

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Solution

The fourth proportional to 299,390.78, 413,148.92 and 178,469.76 is: 246,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,390.78 : 413,148.92 = 178,469.76 : x
  2. Step 2: Convert to fraction form
    299,390.78/413,148.92 = 178,469.76/x
  3. Step 3: Cross multiply
    299,390.78x = 413,148.92 × 178,469.76
  4. Step 4: Simplify right side
    299,390.78x = 73,734,588,596.66
  5. Step 5: Solve for x
    x = 73,734,588,596.66/299,390.78
  6. Step 6: Final answer
    x = 246,282.10

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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.