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Finding the Fourth Proportional to 270,306, 405,460.44 and 73,314

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Solution

The fourth proportional to 270,306, 405,460.44 and 73,314 is: 109,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,306 : 405,460.44 = 73,314 : x
  2. Step 2: Convert to fraction form
    270,306/405,460.44 = 73,314/x
  3. Step 3: Cross multiply
    270,306x = 405,460.44 × 73,314
  4. Step 4: Simplify right side
    270,306x = 29,725,926,698.16
  5. Step 5: Solve for x
    x = 29,725,926,698.16/270,306
  6. Step 6: Final answer
    x = 109,971.39

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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.