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Finding the Fourth Proportional to 402,739.35, 555,782.31 and 221,462.97

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Solution

The fourth proportional to 402,739.35, 555,782.31 and 221,462.97 is: 305,620.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,739.35 : 555,782.31 = 221,462.97 : x
  2. Step 2: Convert to fraction form
    402,739.35/555,782.31 = 221,462.97/x
  3. Step 3: Cross multiply
    402,739.35x = 555,782.31 × 221,462.97
  4. Step 4: Simplify right side
    402,739.35x = 123,085,201,046.06
  5. Step 5: Solve for x
    x = 123,085,201,046.06/402,739.35
  6. Step 6: Final answer
    x = 305,620.00

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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.