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Finding the Fourth Proportional to 543,908.43, 815,862.96 and 206,871.30

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Solution

The fourth proportional to 543,908.43, 815,862.96 and 206,871.30 is: 310,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,908.43 : 815,862.96 = 206,871.30 : x
  2. Step 2: Convert to fraction form
    543,908.43/815,862.96 = 206,871.30/x
  3. Step 3: Cross multiply
    543,908.43x = 815,862.96 × 206,871.30
  4. Step 4: Simplify right side
    543,908.43x = 168,778,631,157.05
  5. Step 5: Solve for x
    x = 168,778,631,157.05/543,908.43
  6. Step 6: Final answer
    x = 310,307.07

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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.