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Finding the Fourth Proportional to 702,997.21, 970,134.67 and 380,706.31

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Solution

The fourth proportional to 702,997.21, 970,134.67 and 380,706.31 is: 525,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,997.21 : 970,134.67 = 380,706.31 : x
  2. Step 2: Convert to fraction form
    702,997.21/970,134.67 = 380,706.31/x
  3. Step 3: Cross multiply
    702,997.21x = 970,134.67 × 380,706.31
  4. Step 4: Simplify right side
    702,997.21x = 369,336,392,107.32
  5. Step 5: Solve for x
    x = 369,336,392,107.32/702,997.21
  6. Step 6: Final answer
    x = 525,373.91

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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.