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Finding the Fourth Proportional to 392,420, 588,635.54 and 111,937.26

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Solution

The fourth proportional to 392,420, 588,635.54 and 111,937.26 is: 167,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,420 : 588,635.54 = 111,937.26 : x
  2. Step 2: Convert to fraction form
    392,420/588,635.54 = 111,937.26/x
  3. Step 3: Cross multiply
    392,420x = 588,635.54 × 111,937.26
  4. Step 4: Simplify right side
    392,420x = 65,890,249,486.22
  5. Step 5: Solve for x
    x = 65,890,249,486.22/392,420
  6. Step 6: Final answer
    x = 167,907.47

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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.