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Finding the Fourth Proportional to 259,872.80, 389,506.80 and 119,645.60

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Solution

The fourth proportional to 259,872.80, 389,506.80 and 119,645.60 is: 179,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,872.80 : 389,506.80 = 119,645.60 : x
  2. Step 2: Convert to fraction form
    259,872.80/389,506.80 = 119,645.60/x
  3. Step 3: Cross multiply
    259,872.80x = 389,506.80 × 119,645.60
  4. Step 4: Simplify right side
    259,872.80x = 46,602,774,790.08
  5. Step 5: Solve for x
    x = 46,602,774,790.08/259,872.80
  6. Step 6: Final answer
    x = 179,329.17

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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.