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Finding the Fourth Proportional to 272,467.78, 408,722.12 and 72,783.74

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Solution

The fourth proportional to 272,467.78, 408,722.12 and 72,783.74 is: 109,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,467.78 : 408,722.12 = 72,783.74 : x
  2. Step 2: Convert to fraction form
    272,467.78/408,722.12 = 72,783.74/x
  3. Step 3: Cross multiply
    272,467.78x = 408,722.12 × 72,783.74
  4. Step 4: Simplify right side
    272,467.78x = 29,748,324,514.33
  5. Step 5: Solve for x
    x = 29,748,324,514.33/272,467.78
  6. Step 6: Final answer
    x = 109,181.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.