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Finding the Fourth Proportional to 643,556.78, 964,661.64 and 216,945.20

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Solution

The fourth proportional to 643,556.78, 964,661.64 and 216,945.20 is: 325,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,556.78 : 964,661.64 = 216,945.20 : x
  2. Step 2: Convert to fraction form
    643,556.78/964,661.64 = 216,945.20/x
  3. Step 3: Cross multiply
    643,556.78x = 964,661.64 × 216,945.20
  4. Step 4: Simplify right side
    643,556.78x = 209,278,714,020.24
  5. Step 5: Solve for x
    x = 209,278,714,020.24/643,556.78
  6. Step 6: Final answer
    x = 325,190.75

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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.