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Finding the Fourth Proportional to 286,362.06, 395,179.65 and 159,049.50

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Solution

The fourth proportional to 286,362.06, 395,179.65 and 159,049.50 is: 219,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,362.06 : 395,179.65 = 159,049.50 : x
  2. Step 2: Convert to fraction form
    286,362.06/395,179.65 = 159,049.50/x
  3. Step 3: Cross multiply
    286,362.06x = 395,179.65 × 159,049.50
  4. Step 4: Simplify right side
    286,362.06x = 62,853,125,742.68
  5. Step 5: Solve for x
    x = 62,853,125,742.68/286,362.06
  6. Step 6: Final answer
    x = 219,488.31

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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.