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Finding the Fourth Proportional to 270,644.80, 405,967.20 and 265,979.20

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Solution

The fourth proportional to 270,644.80, 405,967.20 and 265,979.20 is: 398,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,644.80 : 405,967.20 = 265,979.20 : x
  2. Step 2: Convert to fraction form
    270,644.80/405,967.20 = 265,979.20/x
  3. Step 3: Cross multiply
    270,644.80x = 405,967.20 × 265,979.20
  4. Step 4: Simplify right side
    270,644.80x = 107,978,831,082.24
  5. Step 5: Solve for x
    x = 107,978,831,082.24/270,644.80
  6. Step 6: Final answer
    x = 398,968.80

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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.