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Finding the Fourth Proportional to 419,707.78, 579,179.87 and 228,717.07

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Solution

The fourth proportional to 419,707.78, 579,179.87 and 228,717.07 is: 315,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,707.78 : 579,179.87 = 228,717.07 : x
  2. Step 2: Convert to fraction form
    419,707.78/579,179.87 = 228,717.07/x
  3. Step 3: Cross multiply
    419,707.78x = 579,179.87 × 228,717.07
  4. Step 4: Simplify right side
    419,707.78x = 132,468,321,135.54
  5. Step 5: Solve for x
    x = 132,468,321,135.54/419,707.78
  6. Step 6: Final answer
    x = 315,620.36

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1.5x scale

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.