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Finding the Fourth Proportional to 702,309.69, 969,180.39 and 380,012.58

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Solution

The fourth proportional to 702,309.69, 969,180.39 and 380,012.58 is: 524,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,309.69 : 969,180.39 = 380,012.58 : x
  2. Step 2: Convert to fraction form
    702,309.69/969,180.39 = 380,012.58/x
  3. Step 3: Cross multiply
    702,309.69x = 969,180.39 × 380,012.58
  4. Step 4: Simplify right side
    702,309.69x = 368,300,740,489.31
  5. Step 5: Solve for x
    x = 368,300,740,489.31/702,309.69
  6. Step 6: Final answer
    x = 524,413.58

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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.