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Finding the Fourth Proportional to 320,608.32, 442,452.51 and 177,365.90

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Solution

The fourth proportional to 320,608.32, 442,452.51 and 177,365.90 is: 244,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,608.32 : 442,452.51 = 177,365.90 : x
  2. Step 2: Convert to fraction form
    320,608.32/442,452.51 = 177,365.90/x
  3. Step 3: Cross multiply
    320,608.32x = 442,452.51 × 177,365.90
  4. Step 4: Simplify right side
    320,608.32x = 78,475,985,431.15
  5. Step 5: Solve for x
    x = 78,475,985,431.15/320,608.32
  6. Step 6: Final answer
    x = 244,772.14

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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.