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Finding the Fourth Proportional to 371,454.87, 512,593.34 and 201,685.11

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Solution

The fourth proportional to 371,454.87, 512,593.34 and 201,685.11 is: 278,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,454.87 : 512,593.34 = 201,685.11 : x
  2. Step 2: Convert to fraction form
    371,454.87/512,593.34 = 201,685.11/x
  3. Step 3: Cross multiply
    371,454.87x = 512,593.34 × 201,685.11
  4. Step 4: Simplify right side
    371,454.87x = 103,382,441,600.20
  5. Step 5: Solve for x
    x = 103,382,441,600.20/371,454.87
  6. Step 6: Final answer
    x = 278,317.64

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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.