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Finding the Fourth Proportional to 234,838.38, 324,245.47 and 144,315.71

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Solution

The fourth proportional to 234,838.38, 324,245.47 and 144,315.71 is: 199,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,838.38 : 324,245.47 = 144,315.71 : x
  2. Step 2: Convert to fraction form
    234,838.38/324,245.47 = 144,315.71/x
  3. Step 3: Cross multiply
    234,838.38x = 324,245.47 × 144,315.71
  4. Step 4: Simplify right side
    234,838.38x = 46,793,715,217.33
  5. Step 5: Solve for x
    x = 46,793,715,217.33/234,838.38
  6. Step 6: Final answer
    x = 199,259.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.