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Finding the Fourth Proportional to 282,169.07, 389,398.07 and 154,856.51

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Solution

The fourth proportional to 282,169.07, 389,398.07 and 154,856.51 is: 213,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,169.07 : 389,398.07 = 154,856.51 : x
  2. Step 2: Convert to fraction form
    282,169.07/389,398.07 = 154,856.51/x
  3. Step 3: Cross multiply
    282,169.07x = 389,398.07 × 154,856.51
  4. Step 4: Simplify right side
    282,169.07x = 60,300,826,120.94
  5. Step 5: Solve for x
    x = 60,300,826,120.94/282,169.07
  6. Step 6: Final answer
    x = 213,704.59

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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.