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Finding the Fourth Proportional to 218,843.62, 302,006.49 and 123,350.31

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Solution

The fourth proportional to 218,843.62, 302,006.49 and 123,350.31 is: 170,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,843.62 : 302,006.49 = 123,350.31 : x
  2. Step 2: Convert to fraction form
    218,843.62/302,006.49 = 123,350.31/x
  3. Step 3: Cross multiply
    218,843.62x = 302,006.49 × 123,350.31
  4. Step 4: Simplify right side
    218,843.62x = 37,252,594,163.51
  5. Step 5: Solve for x
    x = 37,252,594,163.51/218,843.62
  6. Step 6: Final answer
    x = 170,224.72

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1.5x scale

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.