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Finding the Fourth Proportional to 419,642.91, 579,107.34 and 228,656.39

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Solution

The fourth proportional to 419,642.91, 579,107.34 and 228,656.39 is: 315,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,642.91 : 579,107.34 = 228,656.39 : x
  2. Step 2: Convert to fraction form
    419,642.91/579,107.34 = 228,656.39/x
  3. Step 3: Cross multiply
    419,642.91x = 579,107.34 × 228,656.39
  4. Step 4: Simplify right side
    419,642.91x = 132,416,590,891.37
  5. Step 5: Solve for x
    x = 132,416,590,891.37/419,642.91
  6. Step 6: Final answer
    x = 315,545.88

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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.