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Finding the Fourth Proportional to 703,740.69, 971,163.81 and 381,450.42

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Solution

The fourth proportional to 703,740.69, 971,163.81 and 381,450.42 is: 526,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,740.69 : 971,163.81 = 381,450.42 : x
  2. Step 2: Convert to fraction form
    703,740.69/971,163.81 = 381,450.42/x
  3. Step 3: Cross multiply
    703,740.69x = 971,163.81 × 381,450.42
  4. Step 4: Simplify right side
    703,740.69x = 370,450,843,213.30
  5. Step 5: Solve for x
    x = 370,450,843,213.30/703,740.69
  6. Step 6: Final answer
    x = 526,402.48

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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.