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Finding the Fourth Proportional to 259,639.02, 389,505.93 and 119,394

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Solution

The fourth proportional to 259,639.02, 389,505.93 and 119,394 is: 179,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,639.02 : 389,505.93 = 119,394 : x
  2. Step 2: Convert to fraction form
    259,639.02/389,505.93 = 119,394/x
  3. Step 3: Cross multiply
    259,639.02x = 389,505.93 × 119,394
  4. Step 4: Simplify right side
    259,639.02x = 46,504,671,006.42
  5. Step 5: Solve for x
    x = 46,504,671,006.42/259,639.02
  6. Step 6: Final answer
    x = 179,112.80

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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.