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Finding the Fourth Proportional to 398,905.02, 598,581 and 211,911.66

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Solution

The fourth proportional to 398,905.02, 598,581 and 211,911.66 is: 317,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,905.02 : 598,581 = 211,911.66 : x
  2. Step 2: Convert to fraction form
    398,905.02/598,581 = 211,911.66/x
  3. Step 3: Cross multiply
    398,905.02x = 598,581 × 211,911.66
  4. Step 4: Simplify right side
    398,905.02x = 126,846,293,354.46
  5. Step 5: Solve for x
    x = 126,846,293,354.46/398,905.02
  6. Step 6: Final answer
    x = 317,986.20

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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.