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Finding the Fourth Proportional to 286,003.41, 394,684.75 and 158,678.70

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Solution

The fourth proportional to 286,003.41, 394,684.75 and 158,678.70 is: 218,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,003.41 : 394,684.75 = 158,678.70 : x
  2. Step 2: Convert to fraction form
    286,003.41/394,684.75 = 158,678.70/x
  3. Step 3: Cross multiply
    286,003.41x = 394,684.75 × 158,678.70
  4. Step 4: Simplify right side
    286,003.41x = 62,628,061,066.40
  5. Step 5: Solve for x
    x = 62,628,061,066.40/286,003.41
  6. Step 6: Final answer
    x = 218,976.63

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1.5x scale

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.