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Finding the Fourth Proportional to 394,470.42, 591,804.99 and 113,985.78

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Solution

The fourth proportional to 394,470.42, 591,804.99 and 113,985.78 is: 171,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,470.42 : 591,804.99 = 113,985.78 : x
  2. Step 2: Convert to fraction form
    394,470.42/591,804.99 = 113,985.78/x
  3. Step 3: Cross multiply
    394,470.42x = 591,804.99 × 113,985.78
  4. Step 4: Simplify right side
    394,470.42x = 67,457,353,393.04
  5. Step 5: Solve for x
    x = 67,457,353,393.04/394,470.42
  6. Step 6: Final answer
    x = 171,007.38

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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.