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Finding the Fourth Proportional to 408,055.64, 612,022.98 and 218,282.36

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Solution

The fourth proportional to 408,055.64, 612,022.98 and 218,282.36 is: 327,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,055.64 : 612,022.98 = 218,282.36 : x
  2. Step 2: Convert to fraction form
    408,055.64/612,022.98 = 218,282.36/x
  3. Step 3: Cross multiply
    408,055.64x = 612,022.98 × 218,282.36
  4. Step 4: Simplify right side
    408,055.64x = 133,593,820,448.63
  5. Step 5: Solve for x
    x = 133,593,820,448.63/408,055.64
  6. Step 6: Final answer
    x = 327,391.19

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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.