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Finding the Fourth Proportional to 279,366, 385,457.84 and 164,649.22

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Solution

The fourth proportional to 279,366, 385,457.84 and 164,649.22 is: 227,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,366 : 385,457.84 = 164,649.22 : x
  2. Step 2: Convert to fraction form
    279,366/385,457.84 = 164,649.22/x
  3. Step 3: Cross multiply
    279,366x = 385,457.84 × 164,649.22
  4. Step 4: Simplify right side
    279,366x = 63,465,332,698.88
  5. Step 5: Solve for x
    x = 63,465,332,698.88/279,366
  6. Step 6: Final answer
    x = 227,176.29

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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.