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Finding the Fourth Proportional to 409,899, 565,660.62 and 221,483

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Solution

The fourth proportional to 409,899, 565,660.62 and 221,483 is: 305,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,899 : 565,660.62 = 221,483 : x
  2. Step 2: Convert to fraction form
    409,899/565,660.62 = 221,483/x
  3. Step 3: Cross multiply
    409,899x = 565,660.62 × 221,483
  4. Step 4: Simplify right side
    409,899x = 125,284,211,099.46
  5. Step 5: Solve for x
    x = 125,284,211,099.46/409,899
  6. Step 6: Final answer
    x = 305,646.54

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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.