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Finding the Fourth Proportional to 703,116, 970,299.60 and 380,826

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Solution

The fourth proportional to 703,116, 970,299.60 and 380,826 is: 525,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,116 : 970,299.60 = 380,826 : x
  2. Step 2: Convert to fraction form
    703,116/970,299.60 = 380,826/x
  3. Step 3: Cross multiply
    703,116x = 970,299.60 × 380,826
  4. Step 4: Simplify right side
    703,116x = 369,515,315,469.60
  5. Step 5: Solve for x
    x = 369,515,315,469.60/703,116
  6. Step 6: Final answer
    x = 525,539.62

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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.