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Finding the Fourth Proportional to 371,620.32, 512,836.20 and 201,858

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Solution

The fourth proportional to 371,620.32, 512,836.20 and 201,858 is: 278,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,620.32 : 512,836.20 = 201,858 : x
  2. Step 2: Convert to fraction form
    371,620.32/512,836.20 = 201,858/x
  3. Step 3: Cross multiply
    371,620.32x = 512,836.20 × 201,858
  4. Step 4: Simplify right side
    371,620.32x = 103,520,089,659.60
  5. Step 5: Solve for x
    x = 103,520,089,659.60/371,620.32
  6. Step 6: Final answer
    x = 278,564.13

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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.