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Finding the Fourth Proportional to 287,855.29, 397,221.51 and 158,786.02

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Solution

The fourth proportional to 287,855.29, 397,221.51 and 158,786.02 is: 219,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,855.29 : 397,221.51 = 158,786.02 : x
  2. Step 2: Convert to fraction form
    287,855.29/397,221.51 = 158,786.02/x
  3. Step 3: Cross multiply
    287,855.29x = 397,221.51 × 158,786.02
  4. Step 4: Simplify right side
    287,855.29x = 63,073,222,631.29
  5. Step 5: Solve for x
    x = 63,073,222,631.29/287,855.29
  6. Step 6: Final answer
    x = 219,114.34

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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.