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Finding the Fourth Proportional to 355,696.38, 490,823.55 and 212,436.54

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Solution

The fourth proportional to 355,696.38, 490,823.55 and 212,436.54 is: 293,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,696.38 : 490,823.55 = 212,436.54 : x
  2. Step 2: Convert to fraction form
    355,696.38/490,823.55 = 212,436.54/x
  3. Step 3: Cross multiply
    355,696.38x = 490,823.55 × 212,436.54
  4. Step 4: Simplify right side
    355,696.38x = 104,268,856,712.52
  5. Step 5: Solve for x
    x = 104,268,856,712.52/355,696.38
  6. Step 6: Final answer
    x = 293,140.06

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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.