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Finding the Fourth Proportional to 411,945.60, 618,436.80 and 222,556.80

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Solution

The fourth proportional to 411,945.60, 618,436.80 and 222,556.80 is: 334,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,945.60 : 618,436.80 = 222,556.80 : x
  2. Step 2: Convert to fraction form
    411,945.60/618,436.80 = 222,556.80/x
  3. Step 3: Cross multiply
    411,945.60x = 618,436.80 × 222,556.80
  4. Step 4: Simplify right side
    411,945.60x = 137,637,315,210.24
  5. Step 5: Solve for x
    x = 137,637,315,210.24/411,945.60
  6. Step 6: Final answer
    x = 334,115.27

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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.