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Finding the Fourth Proportional to 320,879.75, 442,817.51 and 177,642.18

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Solution

The fourth proportional to 320,879.75, 442,817.51 and 177,642.18 is: 245,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,879.75 : 442,817.51 = 177,642.18 : x
  2. Step 2: Convert to fraction form
    320,879.75/442,817.51 = 177,642.18/x
  3. Step 3: Cross multiply
    320,879.75x = 442,817.51 × 177,642.18
  4. Step 4: Simplify right side
    320,879.75x = 78,663,066,930.36
  5. Step 5: Solve for x
    x = 78,663,066,930.36/320,879.75
  6. Step 6: Final answer
    x = 245,148.12

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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.