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Finding the Fourth Proportional to 286,090.45, 394,806.36 and 158,766.15

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Solution

The fourth proportional to 286,090.45, 394,806.36 and 158,766.15 is: 219,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,090.45 : 394,806.36 = 158,766.15 : x
  2. Step 2: Convert to fraction form
    286,090.45/394,806.36 = 158,766.15/x
  3. Step 3: Cross multiply
    286,090.45x = 394,806.36 × 158,766.15
  4. Step 4: Simplify right side
    286,090.45x = 62,681,883,798.68
  5. Step 5: Solve for x
    x = 62,681,883,798.68/286,090.45
  6. Step 6: Final answer
    x = 219,098.13

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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.