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Finding the Fourth Proportional to 320,585.92, 481,429.02 and 284,643.60

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Solution

The fourth proportional to 320,585.92, 481,429.02 and 284,643.60 is: 427,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,585.92 : 481,429.02 = 284,643.60 : x
  2. Step 2: Convert to fraction form
    320,585.92/481,429.02 = 284,643.60/x
  3. Step 3: Cross multiply
    320,585.92x = 481,429.02 × 284,643.60
  4. Step 4: Simplify right side
    320,585.92x = 137,035,689,766.25
  5. Step 5: Solve for x
    x = 137,035,689,766.25/320,585.92
  6. Step 6: Final answer
    x = 427,453.87

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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.