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Finding the Fourth Proportional to 371,390.40, 512,516 and 201,620.16

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Solution

The fourth proportional to 371,390.40, 512,516 and 201,620.16 is: 278,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,390.40 : 512,516 = 201,620.16 : x
  2. Step 2: Convert to fraction form
    371,390.40/512,516 = 201,620.16/x
  3. Step 3: Cross multiply
    371,390.40x = 512,516 × 201,620.16
  4. Step 4: Simplify right side
    371,390.40x = 103,333,557,922.56
  5. Step 5: Solve for x
    x = 103,333,557,922.56/371,390.40
  6. Step 6: Final answer
    x = 278,234.33

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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.