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Finding the Fourth Proportional to 286,663.14, 395,609.16 and 159,336

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Solution

The fourth proportional to 286,663.14, 395,609.16 and 159,336 is: 219,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,663.14 : 395,609.16 = 159,336 : x
  2. Step 2: Convert to fraction form
    286,663.14/395,609.16 = 159,336/x
  3. Step 3: Cross multiply
    286,663.14x = 395,609.16 × 159,336
  4. Step 4: Simplify right side
    286,663.14x = 63,034,781,117.76
  5. Step 5: Solve for x
    x = 63,034,781,117.76/286,663.14
  6. Step 6: Final answer
    x = 219,891.48

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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.