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Finding the Fourth Proportional to 320,801.92, 442,695.36 and 177,562.24

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Solution

The fourth proportional to 320,801.92, 442,695.36 and 177,562.24 is: 245,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,801.92 : 442,695.36 = 177,562.24 : x
  2. Step 2: Convert to fraction form
    320,801.92/442,695.36 = 177,562.24/x
  3. Step 3: Cross multiply
    320,801.92x = 442,695.36 × 177,562.24
  4. Step 4: Simplify right side
    320,801.92x = 78,605,979,759.21
  5. Step 5: Solve for x
    x = 78,605,979,759.21/320,801.92
  6. Step 6: Final answer
    x = 245,029.64

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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.