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Finding the Fourth Proportional to 286,172.61, 394,919.69 and 178,804.91

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Solution

The fourth proportional to 286,172.61, 394,919.69 and 178,804.91 is: 246,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,172.61 : 394,919.69 = 178,804.91 : x
  2. Step 2: Convert to fraction form
    286,172.61/394,919.69 = 178,804.91/x
  3. Step 3: Cross multiply
    286,172.61x = 394,919.69 × 178,804.91
  4. Step 4: Simplify right side
    286,172.61x = 70,613,576,759.05
  5. Step 5: Solve for x
    x = 70,613,576,759.05/286,172.61
  6. Step 6: Final answer
    x = 246,751.70

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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.