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Finding the Fourth Proportional to 441,162, 660,690 and 253,779.84

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Solution

The fourth proportional to 441,162, 660,690 and 253,779.84 is: 380,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,162 : 660,690 = 253,779.84 : x
  2. Step 2: Convert to fraction form
    441,162/660,690 = 253,779.84/x
  3. Step 3: Cross multiply
    441,162x = 660,690 × 253,779.84
  4. Step 4: Simplify right side
    441,162x = 167,669,802,489.60
  5. Step 5: Solve for x
    x = 167,669,802,489.60/441,162
  6. Step 6: Final answer
    x = 380,064.02

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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.