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Finding the Fourth Proportional to 320,813.92, 442,711.92 and 177,574.24

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Solution

The fourth proportional to 320,813.92, 442,711.92 and 177,574.24 is: 245,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,813.92 : 442,711.92 = 177,574.24 : x
  2. Step 2: Convert to fraction form
    320,813.92/442,711.92 = 177,574.24/x
  3. Step 3: Cross multiply
    320,813.92x = 442,711.92 × 177,574.24
  4. Step 4: Simplify right side
    320,813.92x = 78,614,232,732.94
  5. Step 5: Solve for x
    x = 78,614,232,732.94/320,813.92
  6. Step 6: Final answer
    x = 245,046.20

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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.