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Finding the Fourth Proportional to 703,286.76, 970,531.74 and 381,003.12

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Solution

The fourth proportional to 703,286.76, 970,531.74 and 381,003.12 is: 525,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,286.76 : 970,531.74 = 381,003.12 : x
  2. Step 2: Convert to fraction form
    703,286.76/970,531.74 = 381,003.12/x
  3. Step 3: Cross multiply
    703,286.76x = 970,531.74 × 381,003.12
  4. Step 4: Simplify right side
    703,286.76x = 369,775,620,999.03
  5. Step 5: Solve for x
    x = 369,775,620,999.03/703,286.76
  6. Step 6: Final answer
    x = 525,782.14

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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.