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Finding the Fourth Proportional to 286,107.94, 394,810.56 and 178,671.52

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Solution

The fourth proportional to 286,107.94, 394,810.56 and 178,671.52 is: 246,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,107.94 : 394,810.56 = 178,671.52 : x
  2. Step 2: Convert to fraction form
    286,107.94/394,810.56 = 178,671.52/x
  3. Step 3: Cross multiply
    286,107.94x = 394,810.56 × 178,671.52
  4. Step 4: Simplify right side
    286,107.94x = 70,541,402,867.25
  5. Step 5: Solve for x
    x = 70,541,402,867.25/286,107.94
  6. Step 6: Final answer
    x = 246,555.21

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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.