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Finding the Fourth Proportional to 402,395.89, 555,319.97 and 221,114.33

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Solution

The fourth proportional to 402,395.89, 555,319.97 and 221,114.33 is: 305,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,395.89 : 555,319.97 = 221,114.33 : x
  2. Step 2: Convert to fraction form
    402,395.89/555,319.97 = 221,114.33/x
  3. Step 3: Cross multiply
    402,395.89x = 555,319.97 × 221,114.33
  4. Step 4: Simplify right side
    402,395.89x = 122,789,202,131.63
  5. Step 5: Solve for x
    x = 122,789,202,131.63/402,395.89
  6. Step 6: Final answer
    x = 305,145.27

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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.