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Finding the Fourth Proportional to 286,251.72, 395,009.10 and 158,927.28

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Solution

The fourth proportional to 286,251.72, 395,009.10 and 158,927.28 is: 219,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,251.72 : 395,009.10 = 158,927.28 : x
  2. Step 2: Convert to fraction form
    286,251.72/395,009.10 = 158,927.28/x
  3. Step 3: Cross multiply
    286,251.72x = 395,009.10 × 158,927.28
  4. Step 4: Simplify right side
    286,251.72x = 62,777,721,838.25
  5. Step 5: Solve for x
    x = 62,777,721,838.25/286,251.72
  6. Step 6: Final answer
    x = 219,309.50

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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.