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Finding the Fourth Proportional to 368,906.37, 509,115.56 and 205,588.23

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Solution

The fourth proportional to 368,906.37, 509,115.56 and 205,588.23 is: 283,725.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,906.37 : 509,115.56 = 205,588.23 : x
  2. Step 2: Convert to fraction form
    368,906.37/509,115.56 = 205,588.23/x
  3. Step 3: Cross multiply
    368,906.37x = 509,115.56 × 205,588.23
  4. Step 4: Simplify right side
    368,906.37x = 104,668,165,817.92
  5. Step 5: Solve for x
    x = 104,668,165,817.92/368,906.37
  6. Step 6: Final answer
    x = 283,725.56

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1.5x scale

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.