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Finding the Fourth Proportional to 222,461.76, 306,997.12 and 120,487.22

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Solution

The fourth proportional to 222,461.76, 306,997.12 and 120,487.22 is: 166,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,461.76 : 306,997.12 = 120,487.22 : x
  2. Step 2: Convert to fraction form
    222,461.76/306,997.12 = 120,487.22/x
  3. Step 3: Cross multiply
    222,461.76x = 306,997.12 × 120,487.22
  4. Step 4: Simplify right side
    222,461.76x = 36,989,229,536.81
  5. Step 5: Solve for x
    x = 36,989,229,536.81/222,461.76
  6. Step 6: Final answer
    x = 166,272.30

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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.