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Finding the Fourth Proportional to 393,678.20, 590,517.30 and 387,117.20

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Solution

The fourth proportional to 393,678.20, 590,517.30 and 387,117.20 is: 580,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,678.20 : 590,517.30 = 387,117.20 : x
  2. Step 2: Convert to fraction form
    393,678.20/590,517.30 = 387,117.20/x
  3. Step 3: Cross multiply
    393,678.20x = 590,517.30 × 387,117.20
  4. Step 4: Simplify right side
    393,678.20x = 228,599,403,727.56
  5. Step 5: Solve for x
    x = 228,599,403,727.56/393,678.20
  6. Step 6: Final answer
    x = 580,675.80

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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.