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Finding the Fourth Proportional to 320,978.48, 442,950.26 and 177,738.52

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Solution

The fourth proportional to 320,978.48, 442,950.26 and 177,738.52 is: 245,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,978.48 : 442,950.26 = 177,738.52 : x
  2. Step 2: Convert to fraction form
    320,978.48/442,950.26 = 177,738.52/x
  3. Step 3: Cross multiply
    320,978.48x = 442,950.26 × 177,738.52
  4. Step 4: Simplify right side
    320,978.48x = 78,729,323,646.02
  5. Step 5: Solve for x
    x = 78,729,323,646.02/320,978.48
  6. Step 6: Final answer
    x = 245,279.13

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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.