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Finding the Fourth Proportional to 419,711.78, 579,185.38 and 228,721.06

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Solution

The fourth proportional to 419,711.78, 579,185.38 and 228,721.06 is: 315,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,711.78 : 579,185.38 = 228,721.06 : x
  2. Step 2: Convert to fraction form
    419,711.78/579,185.38 = 228,721.06/x
  3. Step 3: Cross multiply
    419,711.78x = 579,185.38 × 228,721.06
  4. Step 4: Simplify right side
    419,711.78x = 132,471,894,050.10
  5. Step 5: Solve for x
    x = 132,471,894,050.10/419,711.78
  6. Step 6: Final answer
    x = 315,625.87

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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.