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Finding the Fourth Proportional to 279,350, 385,435.77 and 164,633.21

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Solution

The fourth proportional to 279,350, 385,435.77 and 164,633.21 is: 227,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,350 : 385,435.77 = 164,633.21 : x
  2. Step 2: Convert to fraction form
    279,350/385,435.77 = 164,633.21/x
  3. Step 3: Cross multiply
    279,350x = 385,435.77 × 164,633.21
  4. Step 4: Simplify right side
    279,350x = 63,455,528,063.92
  5. Step 5: Solve for x
    x = 63,455,528,063.92/279,350
  6. Step 6: Final answer
    x = 227,154.21

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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.