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Finding the Fourth Proportional to 402,685.25, 555,691.44 and 221,395.78

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Solution

The fourth proportional to 402,685.25, 555,691.44 and 221,395.78 is: 305,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,685.25 : 555,691.44 = 221,395.78 : x
  2. Step 2: Convert to fraction form
    402,685.25/555,691.44 = 221,395.78/x
  3. Step 3: Cross multiply
    402,685.25x = 555,691.44 × 221,395.78
  4. Step 4: Simplify right side
    402,685.25x = 123,027,738,691.14
  5. Step 5: Solve for x
    x = 123,027,738,691.14/402,685.25
  6. Step 6: Final answer
    x = 305,518.37

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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.