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Finding the Fourth Proportional to 288,081.72, 397,579.14 and 159,043.32

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Solution

The fourth proportional to 288,081.72, 397,579.14 and 159,043.32 is: 219,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,081.72 : 397,579.14 = 159,043.32 : x
  2. Step 2: Convert to fraction form
    288,081.72/397,579.14 = 159,043.32/x
  3. Step 3: Cross multiply
    288,081.72x = 397,579.14 × 159,043.32
  4. Step 4: Simplify right side
    288,081.72x = 63,232,306,388.34
  5. Step 5: Solve for x
    x = 63,232,306,388.34/288,081.72
  6. Step 6: Final answer
    x = 219,494.34

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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.