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Finding the Fourth Proportional to 306,009.69, 422,284.92 and 170,040.12

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Solution

The fourth proportional to 306,009.69, 422,284.92 and 170,040.12 is: 234,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,009.69 : 422,284.92 = 170,040.12 : x
  2. Step 2: Convert to fraction form
    306,009.69/422,284.92 = 170,040.12/x
  3. Step 3: Cross multiply
    306,009.69x = 422,284.92 × 170,040.12
  4. Step 4: Simplify right side
    306,009.69x = 71,805,378,470.99
  5. Step 5: Solve for x
    x = 71,805,378,470.99/306,009.69
  6. Step 6: Final answer
    x = 234,650.67

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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.