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Finding the Fourth Proportional to 279,814.91, 386,274.22 and 165,054.92

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Solution

The fourth proportional to 279,814.91, 386,274.22 and 165,054.92 is: 227,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,814.91 : 386,274.22 = 165,054.92 : x
  2. Step 2: Convert to fraction form
    279,814.91/386,274.22 = 165,054.92/x
  3. Step 3: Cross multiply
    279,814.91x = 386,274.22 × 165,054.92
  4. Step 4: Simplify right side
    279,814.91x = 63,756,458,136.15
  5. Step 5: Solve for x
    x = 63,756,458,136.15/279,814.91
  6. Step 6: Final answer
    x = 227,852.26

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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.