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Finding the Fourth Proportional to 218,816.78, 325,923.92 and 208,578.38

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Solution

The fourth proportional to 218,816.78, 325,923.92 and 208,578.38 is: 310,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,816.78 : 325,923.92 = 208,578.38 : x
  2. Step 2: Convert to fraction form
    218,816.78/325,923.92 = 208,578.38/x
  3. Step 3: Cross multiply
    218,816.78x = 325,923.92 × 208,578.38
  4. Step 4: Simplify right side
    218,816.78x = 67,980,681,346.51
  5. Step 5: Solve for x
    x = 67,980,681,346.51/218,816.78
  6. Step 6: Final answer
    x = 310,673.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.