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Finding the Fourth Proportional to 561,882, 842,823.81 and 229,458

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Solution

The fourth proportional to 561,882, 842,823.81 and 229,458 is: 344,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,882 : 842,823.81 = 229,458 : x
  2. Step 2: Convert to fraction form
    561,882/842,823.81 = 229,458/x
  3. Step 3: Cross multiply
    561,882x = 842,823.81 × 229,458
  4. Step 4: Simplify right side
    561,882x = 193,392,665,794.98
  5. Step 5: Solve for x
    x = 193,392,665,794.98/561,882
  6. Step 6: Final answer
    x = 344,187.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.