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Finding the Fourth Proportional to 702,408.44, 969,323.59 and 380,118.53

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Solution

The fourth proportional to 702,408.44, 969,323.59 and 380,118.53 is: 524,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,408.44 : 969,323.59 = 380,118.53 : x
  2. Step 2: Convert to fraction form
    702,408.44/969,323.59 = 380,118.53/x
  3. Step 3: Cross multiply
    702,408.44x = 969,323.59 × 380,118.53
  4. Step 4: Simplify right side
    702,408.44x = 368,457,858,125.12
  5. Step 5: Solve for x
    x = 368,457,858,125.12/702,408.44
  6. Step 6: Final answer
    x = 524,563.54

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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.