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Finding the Fourth Proportional to 402,833.30, 555,911.91 and 221,556.78

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Solution

The fourth proportional to 402,833.30, 555,911.91 and 221,556.78 is: 305,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,833.30 : 555,911.91 = 221,556.78 : x
  2. Step 2: Convert to fraction form
    402,833.30/555,911.91 = 221,556.78/x
  3. Step 3: Cross multiply
    402,833.30x = 555,911.91 × 221,556.78
  4. Step 4: Simplify right side
    402,833.30x = 123,166,052,743.25
  5. Step 5: Solve for x
    x = 123,166,052,743.25/402,833.30
  6. Step 6: Final answer
    x = 305,749.44

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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.