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Finding the Fourth Proportional to 371,696.34, 512,947.18 and 201,930.60

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Solution

The fourth proportional to 371,696.34, 512,947.18 and 201,930.60 is: 278,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,696.34 : 512,947.18 = 201,930.60 : x
  2. Step 2: Convert to fraction form
    371,696.34/512,947.18 = 201,930.60/x
  3. Step 3: Cross multiply
    371,696.34x = 512,947.18 × 201,930.60
  4. Step 4: Simplify right side
    371,696.34x = 103,579,731,825.71
  5. Step 5: Solve for x
    x = 103,579,731,825.71/371,696.34
  6. Step 6: Final answer
    x = 278,667.61

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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.