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Finding the Fourth Proportional to 342,489.22, 513,936.78 and 190,813.25

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Solution

The fourth proportional to 342,489.22, 513,936.78 and 190,813.25 is: 286,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,489.22 : 513,936.78 = 190,813.25 : x
  2. Step 2: Convert to fraction form
    342,489.22/513,936.78 = 190,813.25/x
  3. Step 3: Cross multiply
    342,489.22x = 513,936.78 × 190,813.25
  4. Step 4: Simplify right side
    342,489.22x = 98,065,947,286.34
  5. Step 5: Solve for x
    x = 98,065,947,286.34/342,489.22
  6. Step 6: Final answer
    x = 286,332.95

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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.