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Finding the Fourth Proportional to 218,843.74, 302,006.67 and 123,350.45

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Solution

The fourth proportional to 218,843.74, 302,006.67 and 123,350.45 is: 170,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,843.74 : 302,006.67 = 123,350.45 : x
  2. Step 2: Convert to fraction form
    218,843.74/302,006.67 = 123,350.45/x
  3. Step 3: Cross multiply
    218,843.74x = 302,006.67 × 123,350.45
  4. Step 4: Simplify right side
    218,843.74x = 37,252,656,674.90
  5. Step 5: Solve for x
    x = 37,252,656,674.90/218,843.74
  6. Step 6: Final answer
    x = 170,224.91

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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.