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Finding the Fourth Proportional to 312,657.45, 468,986.35 and 219,578.73

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Solution

The fourth proportional to 312,657.45, 468,986.35 and 219,578.73 is: 329,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,657.45 : 468,986.35 = 219,578.73 : x
  2. Step 2: Convert to fraction form
    312,657.45/468,986.35 = 219,578.73/x
  3. Step 3: Cross multiply
    312,657.45x = 468,986.35 × 219,578.73
  4. Step 4: Simplify right side
    312,657.45x = 102,979,427,120.34
  5. Step 5: Solve for x
    x = 102,979,427,120.34/312,657.45
  6. Step 6: Final answer
    x = 329,368.22

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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.