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Finding the Fourth Proportional to 392,394, 588,596.54 and 111,911.26

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Solution

The fourth proportional to 392,394, 588,596.54 and 111,911.26 is: 167,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,394 : 588,596.54 = 111,911.26 : x
  2. Step 2: Convert to fraction form
    392,394/588,596.54 = 111,911.26/x
  3. Step 3: Cross multiply
    392,394x = 588,596.54 × 111,911.26
  4. Step 4: Simplify right side
    392,394x = 65,870,580,423.04
  5. Step 5: Solve for x
    x = 65,870,580,423.04/392,394
  6. Step 6: Final answer
    x = 167,868.47

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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.