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Finding the Fourth Proportional to 282,431, 389,789.34 and 163,199

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Solution

The fourth proportional to 282,431, 389,789.34 and 163,199 is: 225,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,431 : 389,789.34 = 163,199 : x
  2. Step 2: Convert to fraction form
    282,431/389,789.34 = 163,199/x
  3. Step 3: Cross multiply
    282,431x = 389,789.34 × 163,199
  4. Step 4: Simplify right side
    282,431x = 63,613,230,498.66
  5. Step 5: Solve for x
    x = 63,613,230,498.66/282,431
  6. Step 6: Final answer
    x = 225,234.59

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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.