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Finding the Fourth Proportional to 304,064.42, 419,620.74 and 201,913.75

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Solution

The fourth proportional to 304,064.42, 419,620.74 and 201,913.75 is: 278,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,064.42 : 419,620.74 = 201,913.75 : x
  2. Step 2: Convert to fraction form
    304,064.42/419,620.74 = 201,913.75/x
  3. Step 3: Cross multiply
    304,064.42x = 419,620.74 × 201,913.75
  4. Step 4: Simplify right side
    304,064.42x = 84,727,194,083.50
  5. Step 5: Solve for x
    x = 84,727,194,083.50/304,064.42
  6. Step 6: Final answer
    x = 278,648.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.