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Finding the Fourth Proportional to 513,826.32, 769,742.04 and 378,645

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Solution

The fourth proportional to 513,826.32, 769,742.04 and 378,645 is: 567,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,826.32 : 769,742.04 = 378,645 : x
  2. Step 2: Convert to fraction form
    513,826.32/769,742.04 = 378,645/x
  3. Step 3: Cross multiply
    513,826.32x = 769,742.04 × 378,645
  4. Step 4: Simplify right side
    513,826.32x = 291,458,974,735.80
  5. Step 5: Solve for x
    x = 291,458,974,735.80/513,826.32
  6. Step 6: Final answer
    x = 567,232.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.