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Finding the Fourth Proportional to 389,109.63, 583,682.36 and 119,218.44

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Solution

The fourth proportional to 389,109.63, 583,682.36 and 119,218.44 is: 178,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,109.63 : 583,682.36 = 119,218.44 : x
  2. Step 2: Convert to fraction form
    389,109.63/583,682.36 = 119,218.44/x
  3. Step 3: Cross multiply
    389,109.63x = 583,682.36 × 119,218.44
  4. Step 4: Simplify right side
    389,109.63x = 69,585,700,414.72
  5. Step 5: Solve for x
    x = 69,585,700,414.72/389,109.63
  6. Step 6: Final answer
    x = 178,833.15

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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.