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Finding the Fourth Proportional to 702,997.22, 970,134.68 and 380,706.32

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Solution

The fourth proportional to 702,997.22, 970,134.68 and 380,706.32 is: 525,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,997.22 : 970,134.68 = 380,706.32 : x
  2. Step 2: Convert to fraction form
    702,997.22/970,134.68 = 380,706.32/x
  3. Step 3: Cross multiply
    702,997.22x = 970,134.68 × 380,706.32
  4. Step 4: Simplify right side
    702,997.22x = 369,336,397,172.97
  5. Step 5: Solve for x
    x = 369,336,397,172.97/702,997.22
  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.