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Finding the Fourth Proportional to 501,451.20, 751,469.53 and 276,912.72

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Solution

The fourth proportional to 501,451.20, 751,469.53 and 276,912.72 is: 414,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,451.20 : 751,469.53 = 276,912.72 : x
  2. Step 2: Convert to fraction form
    501,451.20/751,469.53 = 276,912.72/x
  3. Step 3: Cross multiply
    501,451.20x = 751,469.53 × 276,912.72
  4. Step 4: Simplify right side
    501,451.20x = 208,091,471,549.42
  5. Step 5: Solve for x
    x = 208,091,471,549.42/501,451.20
  6. Step 6: Final answer
    x = 414,978.51

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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.