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Finding the Fourth Proportional to 393,978.25, 590,020 and 224,986.39

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Solution

The fourth proportional to 393,978.25, 590,020 and 224,986.39 is: 336,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,978.25 : 590,020 = 224,986.39 : x
  2. Step 2: Convert to fraction form
    393,978.25/590,020 = 224,986.39/x
  3. Step 3: Cross multiply
    393,978.25x = 590,020 × 224,986.39
  4. Step 4: Simplify right side
    393,978.25x = 132,746,469,827.80
  5. Step 5: Solve for x
    x = 132,746,469,827.80/393,978.25
  6. Step 6: Final answer
    x = 336,938.57

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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.