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Finding the Fourth Proportional to 543,903.46, 815,851.77 and 211,479.46

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Solution

The fourth proportional to 543,903.46, 815,851.77 and 211,479.46 is: 317,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,903.46 : 815,851.77 = 211,479.46 : x
  2. Step 2: Convert to fraction form
    543,903.46/815,851.77 = 211,479.46/x
  3. Step 3: Cross multiply
    543,903.46x = 815,851.77 × 211,479.46
  4. Step 4: Simplify right side
    543,903.46x = 172,535,891,759.64
  5. Step 5: Solve for x
    x = 172,535,891,759.64/543,903.46
  6. Step 6: Final answer
    x = 317,217.86

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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.