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Finding the Fourth Proportional to 702,427.39, 969,349.89 and 380,137.57

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Solution

The fourth proportional to 702,427.39, 969,349.89 and 380,137.57 is: 524,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,427.39 : 969,349.89 = 380,137.57 : x
  2. Step 2: Convert to fraction form
    702,427.39/969,349.89 = 380,137.57/x
  3. Step 3: Cross multiply
    702,427.39x = 969,349.89 × 380,137.57
  4. Step 4: Simplify right side
    702,427.39x = 368,486,311,664.37
  5. Step 5: Solve for x
    x = 368,486,311,664.37/702,427.39
  6. Step 6: Final answer
    x = 524,589.90

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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.