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Finding the Fourth Proportional to 398,809.78, 598,480.70 and 206,861.12

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Solution

The fourth proportional to 398,809.78, 598,480.70 and 206,861.12 is: 310,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,809.78 : 598,480.70 = 206,861.12 : x
  2. Step 2: Convert to fraction form
    398,809.78/598,480.70 = 206,861.12/x
  3. Step 3: Cross multiply
    398,809.78x = 598,480.70 × 206,861.12
  4. Step 4: Simplify right side
    398,809.78x = 123,802,385,598.34
  5. Step 5: Solve for x
    x = 123,802,385,598.34/398,809.78
  6. Step 6: Final answer
    x = 310,429.66

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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.