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Finding the Fourth Proportional to 320,155.92, 480,083.16 and 187,074.60

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Solution

The fourth proportional to 320,155.92, 480,083.16 and 187,074.60 is: 280,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,155.92 : 480,083.16 = 187,074.60 : x
  2. Step 2: Convert to fraction form
    320,155.92/480,083.16 = 187,074.60/x
  3. Step 3: Cross multiply
    320,155.92x = 480,083.16 × 187,074.60
  4. Step 4: Simplify right side
    320,155.92x = 89,811,365,123.74
  5. Step 5: Solve for x
    x = 89,811,365,123.74/320,155.92
  6. Step 6: Final answer
    x = 280,523.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.