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Finding the Fourth Proportional to 371,578.69, 512,747.28 and 206,011.08

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Solution

The fourth proportional to 371,578.69, 512,747.28 and 206,011.08 is: 284,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,578.69 : 512,747.28 = 206,011.08 : x
  2. Step 2: Convert to fraction form
    371,578.69/512,747.28 = 206,011.08/x
  3. Step 3: Cross multiply
    371,578.69x = 512,747.28 × 206,011.08
  4. Step 4: Simplify right side
    371,578.69x = 105,631,620,919.86
  5. Step 5: Solve for x
    x = 105,631,620,919.86/371,578.69
  6. Step 6: Final answer
    x = 284,277.93

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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.