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Finding the Fourth Proportional to 702,394.49, 969,304.40 and 380,104.56

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Solution

The fourth proportional to 702,394.49, 969,304.40 and 380,104.56 is: 524,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,394.49 : 969,304.40 = 380,104.56 : x
  2. Step 2: Convert to fraction form
    702,394.49/969,304.40 = 380,104.56/x
  3. Step 3: Cross multiply
    702,394.49x = 969,304.40 × 380,104.56
  4. Step 4: Simplify right side
    702,394.49x = 368,437,020,567.54
  5. Step 5: Solve for x
    x = 368,437,020,567.54/702,394.49
  6. Step 6: Final answer
    x = 524,544.30

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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.