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Finding the Fourth Proportional to 296,997.85, 409,859.96 and 161,031.45

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Solution

The fourth proportional to 296,997.85, 409,859.96 and 161,031.45 is: 222,224.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,997.85 : 409,859.96 = 161,031.45 : x
  2. Step 2: Convert to fraction form
    296,997.85/409,859.96 = 161,031.45/x
  3. Step 3: Cross multiply
    296,997.85x = 409,859.96 × 161,031.45
  4. Step 4: Simplify right side
    296,997.85x = 66,000,343,655.74
  5. Step 5: Solve for x
    x = 66,000,343,655.74/296,997.85
  6. Step 6: Final answer
    x = 222,224.99

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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.