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Finding the Fourth Proportional to 320,136, 441,785.88 and 176,896.08

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Solution

The fourth proportional to 320,136, 441,785.88 and 176,896.08 is: 244,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,136 : 441,785.88 = 176,896.08 : x
  2. Step 2: Convert to fraction form
    320,136/441,785.88 = 176,896.08/x
  3. Step 3: Cross multiply
    320,136x = 441,785.88 × 176,896.08
  4. Step 4: Simplify right side
    320,136x = 78,150,190,371.35
  5. Step 5: Solve for x
    x = 78,150,190,371.35/320,136
  6. Step 6: Final answer
    x = 244,115.60

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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.