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Finding the Fourth Proportional to 703,674, 971,064.65 and 381,375.81

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Solution

The fourth proportional to 703,674, 971,064.65 and 381,375.81 is: 526,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,674 : 971,064.65 = 381,375.81 : x
  2. Step 2: Convert to fraction form
    703,674/971,064.65 = 381,375.81/x
  3. Step 3: Cross multiply
    703,674x = 971,064.65 × 381,375.81
  4. Step 4: Simplify right side
    703,674x = 370,340,568,409.56
  5. Step 5: Solve for x
    x = 370,340,568,409.56/703,674
  6. Step 6: Final answer
    x = 526,295.65

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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.