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Finding the Fourth Proportional to 703,462.40, 970,796.03 and 431,680.40

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Solution

The fourth proportional to 703,462.40, 970,796.03 and 431,680.40 is: 595,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,462.40 : 970,796.03 = 431,680.40 : x
  2. Step 2: Convert to fraction form
    703,462.40/970,796.03 = 431,680.40/x
  3. Step 3: Cross multiply
    703,462.40x = 970,796.03 × 431,680.40
  4. Step 4: Simplify right side
    703,462.40x = 419,073,611,536.43
  5. Step 5: Solve for x
    x = 419,073,611,536.43/703,462.40
  6. Step 6: Final answer
    x = 595,729.94

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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.