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Finding the Fourth Proportional to 270,305, 405,458.94 and 73,313

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Solution

The fourth proportional to 270,305, 405,458.94 and 73,313 is: 109,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,305 : 405,458.94 = 73,313 : x
  2. Step 2: Convert to fraction form
    270,305/405,458.94 = 73,313/x
  3. Step 3: Cross multiply
    270,305x = 405,458.94 × 73,313
  4. Step 4: Simplify right side
    270,305x = 29,725,411,268.22
  5. Step 5: Solve for x
    x = 29,725,411,268.22/270,305
  6. Step 6: Final answer
    x = 109,969.89

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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.