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Finding the Fourth Proportional to 393,399.94, 590,097.96 and 339,929.22

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Solution

The fourth proportional to 393,399.94, 590,097.96 and 339,929.22 is: 509,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,399.94 : 590,097.96 = 339,929.22 : x
  2. Step 2: Convert to fraction form
    393,399.94/590,097.96 = 339,929.22/x
  3. Step 3: Cross multiply
    393,399.94x = 590,097.96 × 339,929.22
  4. Step 4: Simplify right side
    393,399.94x = 200,591,539,266.39
  5. Step 5: Solve for x
    x = 200,591,539,266.39/393,399.94
  6. Step 6: Final answer
    x = 509,892.15

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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.