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Finding the Fourth Proportional to 286,253.91, 395,042.73 and 158,929.50

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Solution

The fourth proportional to 286,253.91, 395,042.73 and 158,929.50 is: 219,329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,253.91 : 395,042.73 = 158,929.50 : x
  2. Step 2: Convert to fraction form
    286,253.91/395,042.73 = 158,929.50/x
  3. Step 3: Cross multiply
    286,253.91x = 395,042.73 × 158,929.50
  4. Step 4: Simplify right side
    286,253.91x = 62,783,943,557.54
  5. Step 5: Solve for x
    x = 62,783,943,557.54/286,253.91
  6. Step 6: Final answer
    x = 219,329.56

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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.