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Finding the Fourth Proportional to 420,248, 579,942.24 and 269,345

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Solution

The fourth proportional to 420,248, 579,942.24 and 269,345 is: 371,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,248 : 579,942.24 = 269,345 : x
  2. Step 2: Convert to fraction form
    420,248/579,942.24 = 269,345/x
  3. Step 3: Cross multiply
    420,248x = 579,942.24 × 269,345
  4. Step 4: Simplify right side
    420,248x = 156,204,542,632.80
  5. Step 5: Solve for x
    x = 156,204,542,632.80/420,248
  6. Step 6: Final answer
    x = 371,696.10

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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.