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Finding the Fourth Proportional to 219,148.83, 328,737.83 and 76,976.82

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Solution

The fourth proportional to 219,148.83, 328,737.83 and 76,976.82 is: 115,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,148.83 : 328,737.83 = 76,976.82 : x
  2. Step 2: Convert to fraction form
    219,148.83/328,737.83 = 76,976.82/x
  3. Step 3: Cross multiply
    219,148.83x = 328,737.83 × 76,976.82
  4. Step 4: Simplify right side
    219,148.83x = 25,305,192,382.22
  5. Step 5: Solve for x
    x = 25,305,192,382.22/219,148.83
  6. Step 6: Final answer
    x = 115,470.35

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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.