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Finding the Fourth Proportional to 320,793.88, 442,688.58 and 177,545.32

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Solution

The fourth proportional to 320,793.88, 442,688.58 and 177,545.32 is: 245,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,793.88 : 442,688.58 = 177,545.32 : x
  2. Step 2: Convert to fraction form
    320,793.88/442,688.58 = 177,545.32/x
  3. Step 3: Cross multiply
    320,793.88x = 442,688.58 × 177,545.32
  4. Step 4: Simplify right side
    320,793.88x = 78,597,285,596.45
  5. Step 5: Solve for x
    x = 78,597,285,596.45/320,793.88
  6. Step 6: Final answer
    x = 245,008.68

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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.