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Finding the Fourth Proportional to 263,784.20, 395,846.40 and 145,540.40

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Solution

The fourth proportional to 263,784.20, 395,846.40 and 145,540.40 is: 218,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,784.20 : 395,846.40 = 145,540.40 : x
  2. Step 2: Convert to fraction form
    263,784.20/395,846.40 = 145,540.40/x
  3. Step 3: Cross multiply
    263,784.20x = 395,846.40 × 145,540.40
  4. Step 4: Simplify right side
    263,784.20x = 57,611,643,394.56
  5. Step 5: Solve for x
    x = 57,611,643,394.56/263,784.20
  6. Step 6: Final answer
    x = 218,404.45

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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.