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Finding the Fourth Proportional to 399,057.84, 550,794.06 and 229,390.38

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Solution

The fourth proportional to 399,057.84, 550,794.06 and 229,390.38 is: 316,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,057.84 : 550,794.06 = 229,390.38 : x
  2. Step 2: Convert to fraction form
    399,057.84/550,794.06 = 229,390.38/x
  3. Step 3: Cross multiply
    399,057.84x = 550,794.06 × 229,390.38
  4. Step 4: Simplify right side
    399,057.84x = 126,346,858,725.14
  5. Step 5: Solve for x
    x = 126,346,858,725.14/399,057.84
  6. Step 6: Final answer
    x = 316,612.90

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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.