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Finding the Fourth Proportional to 494,779.51, 682,373.77 and 380,335.42

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Solution

The fourth proportional to 494,779.51, 682,373.77 and 380,335.42 is: 524,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,779.51 : 682,373.77 = 380,335.42 : x
  2. Step 2: Convert to fraction form
    494,779.51/682,373.77 = 380,335.42/x
  3. Step 3: Cross multiply
    494,779.51x = 682,373.77 × 380,335.42
  4. Step 4: Simplify right side
    494,779.51x = 259,530,914,409.93
  5. Step 5: Solve for x
    x = 259,530,914,409.93/494,779.51
  6. Step 6: Final answer
    x = 524,538.53

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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.