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Finding the Fourth Proportional to 274,842.81, 412,323.35 and 85,299.57

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Solution

The fourth proportional to 274,842.81, 412,323.35 and 85,299.57 is: 127,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,842.81 : 412,323.35 = 85,299.57 : x
  2. Step 2: Convert to fraction form
    274,842.81/412,323.35 = 85,299.57/x
  3. Step 3: Cross multiply
    274,842.81x = 412,323.35 × 85,299.57
  4. Step 4: Simplify right side
    274,842.81x = 35,171,004,029.46
  5. Step 5: Solve for x
    x = 35,171,004,029.46/274,842.81
  6. Step 6: Final answer
    x = 127,967.71

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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.