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Finding the Fourth Proportional to 355,644.09, 491,268.11 and 284,532.57

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Solution

The fourth proportional to 355,644.09, 491,268.11 and 284,532.57 is: 393,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,644.09 : 491,268.11 = 284,532.57 : x
  2. Step 2: Convert to fraction form
    355,644.09/491,268.11 = 284,532.57/x
  3. Step 3: Cross multiply
    355,644.09x = 491,268.11 × 284,532.57
  4. Step 4: Simplify right side
    355,644.09x = 139,781,776,474.68
  5. Step 5: Solve for x
    x = 139,781,776,474.68/355,644.09
  6. Step 6: Final answer
    x = 393,038.38

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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.