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Finding the Fourth Proportional to 300,814.56, 451,278.74 and 120,913.97

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Solution

The fourth proportional to 300,814.56, 451,278.74 and 120,913.97 is: 181,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,814.56 : 451,278.74 = 120,913.97 : x
  2. Step 2: Convert to fraction form
    300,814.56/451,278.74 = 120,913.97/x
  3. Step 3: Cross multiply
    300,814.56x = 451,278.74 × 120,913.97
  4. Step 4: Simplify right side
    300,814.56x = 54,565,902,075.89
  5. Step 5: Solve for x
    x = 54,565,902,075.89/300,814.56
  6. Step 6: Final answer
    x = 181,393.82

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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.