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Finding the Fourth Proportional to 371,297.92, 512,391.60 and 201,532

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Solution

The fourth proportional to 371,297.92, 512,391.60 and 201,532 is: 278,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,297.92 : 512,391.60 = 201,532 : x
  2. Step 2: Convert to fraction form
    371,297.92/512,391.60 = 201,532/x
  3. Step 3: Cross multiply
    371,297.92x = 512,391.60 × 201,532
  4. Step 4: Simplify right side
    371,297.92x = 103,263,303,931.20
  5. Step 5: Solve for x
    x = 103,263,303,931.20/371,297.92
  6. Step 6: Final answer
    x = 278,114.42

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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.