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Finding the Fourth Proportional to 286,172.86, 394,838.52 and 178,851.91

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Solution

The fourth proportional to 286,172.86, 394,838.52 and 178,851.91 is: 246,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,172.86 : 394,838.52 = 178,851.91 : x
  2. Step 2: Convert to fraction form
    286,172.86/394,838.52 = 178,851.91/x
  3. Step 3: Cross multiply
    286,172.86x = 394,838.52 × 178,851.91
  4. Step 4: Simplify right side
    286,172.86x = 70,617,623,443.57
  5. Step 5: Solve for x
    x = 70,617,623,443.57/286,172.86
  6. Step 6: Final answer
    x = 246,765.62

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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.