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Finding the Fourth Proportional to 360,780.60, 541,357.64 and 261,758.10

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Solution

The fourth proportional to 360,780.60, 541,357.64 and 261,758.10 is: 392,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,780.60 : 541,357.64 = 261,758.10 : x
  2. Step 2: Convert to fraction form
    360,780.60/541,357.64 = 261,758.10/x
  3. Step 3: Cross multiply
    360,780.60x = 541,357.64 × 261,758.10
  4. Step 4: Simplify right side
    360,780.60x = 141,704,747,266.88
  5. Step 5: Solve for x
    x = 141,704,747,266.88/360,780.60
  6. Step 6: Final answer
    x = 392,772.64

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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.