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Finding the Fourth Proportional to 296,996.74, 409,855.28 and 161,035.20

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Solution

The fourth proportional to 296,996.74, 409,855.28 and 161,035.20 is: 222,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,996.74 : 409,855.28 = 161,035.20 : x
  2. Step 2: Convert to fraction form
    296,996.74/409,855.28 = 161,035.20/x
  3. Step 3: Cross multiply
    296,996.74x = 409,855.28 × 161,035.20
  4. Step 4: Simplify right side
    296,996.74x = 66,001,126,985.86
  5. Step 5: Solve for x
    x = 66,001,126,985.86/296,996.74
  6. Step 6: Final answer
    x = 222,228.46

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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.