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Finding the Fourth Proportional to 219,338.70, 328,721.40 and 158,752.97

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Solution

The fourth proportional to 219,338.70, 328,721.40 and 158,752.97 is: 237,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,338.70 : 328,721.40 = 158,752.97 : x
  2. Step 2: Convert to fraction form
    219,338.70/328,721.40 = 158,752.97/x
  3. Step 3: Cross multiply
    219,338.70x = 328,721.40 × 158,752.97
  4. Step 4: Simplify right side
    219,338.70x = 52,185,498,552.56
  5. Step 5: Solve for x
    x = 52,185,498,552.56/219,338.70
  6. Step 6: Final answer
    x = 237,921.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.