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Finding the Fourth Proportional to 371,588.76, 512,789.67 and 201,824.10

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Solution

The fourth proportional to 371,588.76, 512,789.67 and 201,824.10 is: 278,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,588.76 : 512,789.67 = 201,824.10 : x
  2. Step 2: Convert to fraction form
    371,588.76/512,789.67 = 201,824.10/x
  3. Step 3: Cross multiply
    371,588.76x = 512,789.67 × 201,824.10
  4. Step 4: Simplify right side
    371,588.76x = 103,493,313,637.05
  5. Step 5: Solve for x
    x = 103,493,313,637.05/371,588.76
  6. Step 6: Final answer
    x = 278,515.73

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1.5x scale

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.