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Finding the Fourth Proportional to 419,696.55, 579,179.42 and 228,709.95

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Solution

The fourth proportional to 419,696.55, 579,179.42 and 228,709.95 is: 315,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,696.55 : 579,179.42 = 228,709.95 : x
  2. Step 2: Convert to fraction form
    419,696.55/579,179.42 = 228,709.95/x
  3. Step 3: Cross multiply
    419,696.55x = 579,179.42 × 228,709.95
  4. Step 4: Simplify right side
    419,696.55x = 132,464,095,045.68
  5. Step 5: Solve for x
    x = 132,464,095,045.68/419,696.55
  6. Step 6: Final answer
    x = 315,618.74

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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.