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Finding the Fourth Proportional to 320,980.75, 442,947.98 and 177,737.72

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Solution

The fourth proportional to 320,980.75, 442,947.98 and 177,737.72 is: 245,275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,980.75 : 442,947.98 = 177,737.72 : x
  2. Step 2: Convert to fraction form
    320,980.75/442,947.98 = 177,737.72/x
  3. Step 3: Cross multiply
    320,980.75x = 442,947.98 × 177,737.72
  4. Step 4: Simplify right side
    320,980.75x = 78,728,562,273.41
  5. Step 5: Solve for x
    x = 78,728,562,273.41/320,980.75
  6. Step 6: Final answer
    x = 245,275.03

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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.