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Finding the Fourth Proportional to 355,883.81, 491,153.07 and 212,640.78

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Solution

The fourth proportional to 355,883.81, 491,153.07 and 212,640.78 is: 293,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,883.81 : 491,153.07 = 212,640.78 : x
  2. Step 2: Convert to fraction form
    355,883.81/491,153.07 = 212,640.78/x
  3. Step 3: Cross multiply
    355,883.81x = 491,153.07 × 212,640.78
  4. Step 4: Simplify right side
    355,883.81x = 104,439,171,904.20
  5. Step 5: Solve for x
    x = 104,439,171,904.20/355,883.81
  6. Step 6: Final answer
    x = 293,464.24

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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.