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Finding the Fourth Proportional to 419,709.29, 579,181.94 and 228,718.58

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Solution

The fourth proportional to 419,709.29, 579,181.94 and 228,718.58 is: 315,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,709.29 : 579,181.94 = 228,718.58 : x
  2. Step 2: Convert to fraction form
    419,709.29/579,181.94 = 228,718.58/x
  3. Step 3: Cross multiply
    419,709.29x = 579,181.94 × 228,718.58
  4. Step 4: Simplify right side
    419,709.29x = 132,469,666,838.94
  5. Step 5: Solve for x
    x = 132,469,666,838.94/419,709.29
  6. Step 6: Final answer
    x = 315,622.44

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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.