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Finding the Fourth Proportional to 270,287.28, 405,431.40 and 83,297.52

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Solution

The fourth proportional to 270,287.28, 405,431.40 and 83,297.52 is: 124,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,287.28 : 405,431.40 = 83,297.52 : x
  2. Step 2: Convert to fraction form
    270,287.28/405,431.40 = 83,297.52/x
  3. Step 3: Cross multiply
    270,287.28x = 405,431.40 × 83,297.52
  4. Step 4: Simplify right side
    270,287.28x = 33,771,430,150.13
  5. Step 5: Solve for x
    x = 33,771,430,150.13/270,287.28
  6. Step 6: Final answer
    x = 124,946.43

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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.