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Finding the Fourth Proportional to 320,978.50, 442,950.05 and 177,738.54

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Solution

The fourth proportional to 320,978.50, 442,950.05 and 177,738.54 is: 245,279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,978.50 : 442,950.05 = 177,738.54 : x
  2. Step 2: Convert to fraction form
    320,978.50/442,950.05 = 177,738.54/x
  3. Step 3: Cross multiply
    320,978.50x = 442,950.05 × 177,738.54
  4. Step 4: Simplify right side
    320,978.50x = 78,729,295,179.93
  5. Step 5: Solve for x
    x = 78,729,295,179.93/320,978.50
  6. Step 6: Final answer
    x = 245,279.03

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1.5x scale

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.