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Finding the Fourth Proportional to 286,056.78, 394,746.39 and 158,724.78

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Solution

The fourth proportional to 286,056.78, 394,746.39 and 158,724.78 is: 219,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,056.78 : 394,746.39 = 158,724.78 : x
  2. Step 2: Convert to fraction form
    286,056.78/394,746.39 = 158,724.78/x
  3. Step 3: Cross multiply
    286,056.78x = 394,746.39 × 158,724.78
  4. Step 4: Simplify right side
    286,056.78x = 62,656,033,908.54
  5. Step 5: Solve for x
    x = 62,656,033,908.54/286,056.78
  6. Step 6: Final answer
    x = 219,033.56

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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.