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Finding the Fourth Proportional to 320,299.20, 480,045.60 and 162,571.20

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Solution

The fourth proportional to 320,299.20, 480,045.60 and 162,571.20 is: 243,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,299.20 : 480,045.60 = 162,571.20 : x
  2. Step 2: Convert to fraction form
    320,299.20/480,045.60 = 162,571.20/x
  3. Step 3: Cross multiply
    320,299.20x = 480,045.60 × 162,571.20
  4. Step 4: Simplify right side
    320,299.20x = 78,041,589,246.72
  5. Step 5: Solve for x
    x = 78,041,589,246.72/320,299.20
  6. Step 6: Final answer
    x = 243,652.15

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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.