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Finding the Fourth Proportional to 646,767.49, 969,415.54 and 393,489.71

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Solution

The fourth proportional to 646,767.49, 969,415.54 and 393,489.71 is: 589,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,767.49 : 969,415.54 = 393,489.71 : x
  2. Step 2: Convert to fraction form
    646,767.49/969,415.54 = 393,489.71/x
  3. Step 3: Cross multiply
    646,767.49x = 969,415.54 × 393,489.71
  4. Step 4: Simplify right side
    646,767.49x = 381,455,039,704.09
  5. Step 5: Solve for x
    x = 381,455,039,704.09/646,767.49
  6. Step 6: Final answer
    x = 589,786.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.