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Finding the Fourth Proportional to 392,302.86, 588,376.78 and 107,920.04

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Solution

The fourth proportional to 392,302.86, 588,376.78 and 107,920.04 is: 161,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,302.86 : 588,376.78 = 107,920.04 : x
  2. Step 2: Convert to fraction form
    392,302.86/588,376.78 = 107,920.04/x
  3. Step 3: Cross multiply
    392,302.86x = 588,376.78 × 107,920.04
  4. Step 4: Simplify right side
    392,302.86x = 63,497,642,420.99
  5. Step 5: Solve for x
    x = 63,497,642,420.99/392,302.86
  6. Step 6: Final answer
    x = 161,858.73

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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.