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Finding the Fourth Proportional to 702,976.33, 970,102.51 and 380,679.05

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Solution

The fourth proportional to 702,976.33, 970,102.51 and 380,679.05 is: 525,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,976.33 : 970,102.51 = 380,679.05 : x
  2. Step 2: Convert to fraction form
    702,976.33/970,102.51 = 380,679.05/x
  3. Step 3: Cross multiply
    702,976.33x = 970,102.51 × 380,679.05
  4. Step 4: Simplify right side
    702,976.33x = 369,297,703,382.97
  5. Step 5: Solve for x
    x = 369,297,703,382.97/702,976.33
  6. Step 6: Final answer
    x = 525,334.48

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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.