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Finding the Fourth Proportional to 389,109.95, 583,682.82 and 119,218.76

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Solution

The fourth proportional to 389,109.95, 583,682.82 and 119,218.76 is: 178,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,109.95 : 583,682.82 = 119,218.76 : x
  2. Step 2: Convert to fraction form
    389,109.95/583,682.82 = 119,218.76/x
  3. Step 3: Cross multiply
    389,109.95x = 583,682.82 × 119,218.76
  4. Step 4: Simplify right side
    389,109.95x = 69,585,940,857.03
  5. Step 5: Solve for x
    x = 69,585,940,857.03/389,109.95
  6. Step 6: Final answer
    x = 178,833.62

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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.