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Finding the Fourth Proportional to 305,842.97, 422,096.39 and 185,050.85

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Solution

The fourth proportional to 305,842.97, 422,096.39 and 185,050.85 is: 255,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,842.97 : 422,096.39 = 185,050.85 : x
  2. Step 2: Convert to fraction form
    305,842.97/422,096.39 = 185,050.85/x
  3. Step 3: Cross multiply
    305,842.97x = 422,096.39 × 185,050.85
  4. Step 4: Simplify right side
    305,842.97x = 78,109,295,751.43
  5. Step 5: Solve for x
    x = 78,109,295,751.43/305,842.97
  6. Step 6: Final answer
    x = 255,390.20

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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.