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Finding the Fourth Proportional to 286,129.93, 394,767.98 and 165,255.25

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Solution

The fourth proportional to 286,129.93, 394,767.98 and 165,255.25 is: 227,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,129.93 : 394,767.98 = 165,255.25 : x
  2. Step 2: Convert to fraction form
    286,129.93/394,767.98 = 165,255.25/x
  3. Step 3: Cross multiply
    286,129.93x = 394,767.98 × 165,255.25
  4. Step 4: Simplify right side
    286,129.93x = 65,237,480,400.62
  5. Step 5: Solve for x
    x = 65,237,480,400.62/286,129.93
  6. Step 6: Final answer
    x = 227,999.50

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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.