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Finding the Fourth Proportional to 412,754.42, 619,131.76 and 272,480.24

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Solution

The fourth proportional to 412,754.42, 619,131.76 and 272,480.24 is: 408,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,754.42 : 619,131.76 = 272,480.24 : x
  2. Step 2: Convert to fraction form
    412,754.42/619,131.76 = 272,480.24/x
  3. Step 3: Cross multiply
    412,754.42x = 619,131.76 × 272,480.24
  4. Step 4: Simplify right side
    412,754.42x = 168,701,166,779.56
  5. Step 5: Solve for x
    x = 168,701,166,779.56/412,754.42
  6. Step 6: Final answer
    x = 408,720.44

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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.