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Finding the Fourth Proportional to 286,083.79, 394,811.17 and 158,762.12

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Solution

The fourth proportional to 286,083.79, 394,811.17 and 158,762.12 is: 219,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,083.79 : 394,811.17 = 158,762.12 : x
  2. Step 2: Convert to fraction form
    286,083.79/394,811.17 = 158,762.12/x
  3. Step 3: Cross multiply
    286,083.79x = 394,811.17 × 158,762.12
  4. Step 4: Simplify right side
    286,083.79x = 62,681,055,977.92
  5. Step 5: Solve for x
    x = 62,681,055,977.92/286,083.79
  6. Step 6: Final answer
    x = 219,100.34

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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.