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Finding the Fourth Proportional to 543,477.30, 815,356.89 and 206,523.78

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Solution

The fourth proportional to 543,477.30, 815,356.89 and 206,523.78 is: 309,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,477.30 : 815,356.89 = 206,523.78 : x
  2. Step 2: Convert to fraction form
    543,477.30/815,356.89 = 206,523.78/x
  3. Step 3: Cross multiply
    543,477.30x = 815,356.89 × 206,523.78
  4. Step 4: Simplify right side
    543,477.30x = 168,390,586,971.84
  5. Step 5: Solve for x
    x = 168,390,586,971.84/543,477.30
  6. Step 6: Final answer
    x = 309,839.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.