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Finding the Fourth Proportional to 702,425.57, 969,349 and 380,138

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Solution

The fourth proportional to 702,425.57, 969,349 and 380,138 is: 524,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,425.57 : 969,349 = 380,138 : x
  2. Step 2: Convert to fraction form
    702,425.57/969,349 = 380,138/x
  3. Step 3: Cross multiply
    702,425.57x = 969,349 × 380,138
  4. Step 4: Simplify right side
    702,425.57x = 368,486,390,162
  5. Step 5: Solve for x
    x = 368,486,390,162/702,425.57
  6. Step 6: Final answer
    x = 524,591.37

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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.