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Finding the Fourth Proportional to 393,387.86, 590,079.82 and 339,917.14

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Solution

The fourth proportional to 393,387.86, 590,079.82 and 339,917.14 is: 509,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,387.86 : 590,079.82 = 339,917.14 : x
  2. Step 2: Convert to fraction form
    393,387.86/590,079.82 = 339,917.14/x
  3. Step 3: Cross multiply
    393,387.86x = 590,079.82 × 339,917.14
  4. Step 4: Simplify right side
    393,387.86x = 200,578,246,150.13
  5. Step 5: Solve for x
    x = 200,578,246,150.13/393,387.86
  6. Step 6: Final answer
    x = 509,874.01

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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.