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Finding the Fourth Proportional to 306,216.44, 422,592.76 and 170,264.34

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Solution

The fourth proportional to 306,216.44, 422,592.76 and 170,264.34 is: 234,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,216.44 : 422,592.76 = 170,264.34 : x
  2. Step 2: Convert to fraction form
    306,216.44/422,592.76 = 170,264.34/x
  3. Step 3: Cross multiply
    306,216.44x = 422,592.76 × 170,264.34
  4. Step 4: Simplify right side
    306,216.44x = 71,952,477,370.18
  5. Step 5: Solve for x
    x = 71,952,477,370.18/306,216.44
  6. Step 6: Final answer
    x = 234,972.61

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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.