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Finding the Fourth Proportional to 286,003.94, 394,684.34 and 156,944.57

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Solution

The fourth proportional to 286,003.94, 394,684.34 and 156,944.57 is: 216,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,003.94 : 394,684.34 = 156,944.57 : x
  2. Step 2: Convert to fraction form
    286,003.94/394,684.34 = 156,944.57/x
  3. Step 3: Cross multiply
    286,003.94x = 394,684.34 × 156,944.57
  4. Step 4: Simplify right side
    286,003.94x = 61,943,561,268.89
  5. Step 5: Solve for x
    x = 61,943,561,268.89/286,003.94
  6. Step 6: Final answer
    x = 216,582.90

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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.