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Finding the Fourth Proportional to 320,847.16, 481,743.86 and 178,969.64

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Solution

The fourth proportional to 320,847.16, 481,743.86 and 178,969.64 is: 268,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,847.16 : 481,743.86 = 178,969.64 : x
  2. Step 2: Convert to fraction form
    320,847.16/481,743.86 = 178,969.64/x
  3. Step 3: Cross multiply
    320,847.16x = 481,743.86 × 178,969.64
  4. Step 4: Simplify right side
    320,847.16x = 86,217,525,196.41
  5. Step 5: Solve for x
    x = 86,217,525,196.41/320,847.16
  6. Step 6: Final answer
    x = 268,718.37

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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.