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Finding the Fourth Proportional to 305,833.70, 422,050.50 and 171,697.70

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Solution

The fourth proportional to 305,833.70, 422,050.50 and 171,697.70 is: 236,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,833.70 : 422,050.50 = 171,697.70 : x
  2. Step 2: Convert to fraction form
    305,833.70/422,050.50 = 171,697.70/x
  3. Step 3: Cross multiply
    305,833.70x = 422,050.50 × 171,697.70
  4. Step 4: Simplify right side
    305,833.70x = 72,465,100,133.85
  5. Step 5: Solve for x
    x = 72,465,100,133.85/305,833.70
  6. Step 6: Final answer
    x = 236,942.82

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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.