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Finding the Fourth Proportional to 417,992.78, 576,834.28 and 227,009.90

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Solution

The fourth proportional to 417,992.78, 576,834.28 and 227,009.90 is: 313,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,992.78 : 576,834.28 = 227,009.90 : x
  2. Step 2: Convert to fraction form
    417,992.78/576,834.28 = 227,009.90/x
  3. Step 3: Cross multiply
    417,992.78x = 576,834.28 × 227,009.90
  4. Step 4: Simplify right side
    417,992.78x = 130,947,092,219.37
  5. Step 5: Solve for x
    x = 130,947,092,219.37/417,992.78
  6. Step 6: Final answer
    x = 313,275.97

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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.