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Finding the Fourth Proportional to 392,385, 588,583.05 and 111,902.25

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Solution

The fourth proportional to 392,385, 588,583.05 and 111,902.25 is: 167,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,385 : 588,583.05 = 111,902.25 : x
  2. Step 2: Convert to fraction form
    392,385/588,583.05 = 111,902.25/x
  3. Step 3: Cross multiply
    392,385x = 588,583.05 × 111,902.25
  4. Step 4: Simplify right side
    392,385x = 65,863,767,606.86
  5. Step 5: Solve for x
    x = 65,863,767,606.86/392,385
  6. Step 6: Final answer
    x = 167,854.96

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1.5x scale

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.