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Finding the Fourth Proportional to 702,704.22, 969,732.09 and 380,414.28

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Solution

The fourth proportional to 702,704.22, 969,732.09 and 380,414.28 is: 524,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,704.22 : 969,732.09 = 380,414.28 : x
  2. Step 2: Convert to fraction form
    702,704.22/969,732.09 = 380,414.28/x
  3. Step 3: Cross multiply
    702,704.22x = 969,732.09 × 380,414.28
  4. Step 4: Simplify right side
    702,704.22x = 368,899,934,810.25
  5. Step 5: Solve for x
    x = 368,899,934,810.25/702,704.22
  6. Step 6: Final answer
    x = 524,971.85

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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.