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Finding the Fourth Proportional to 208,312.26, 312,468.81 and 75,286.45

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Solution

The fourth proportional to 208,312.26, 312,468.81 and 75,286.45 is: 112,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.26 : 312,468.81 = 75,286.45 : x
  2. Step 2: Convert to fraction form
    208,312.26/312,468.81 = 75,286.45/x
  3. Step 3: Cross multiply
    208,312.26x = 312,468.81 × 75,286.45
  4. Step 4: Simplify right side
    208,312.26x = 23,524,667,440.62
  5. Step 5: Solve for x
    x = 23,524,667,440.62/208,312.26
  6. Step 6: Final answer
    x = 112,929.83

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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.