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Finding the Fourth Proportional to 286,129.80, 394,735.86 and 172,887

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Solution

The fourth proportional to 286,129.80, 394,735.86 and 172,887 is: 238,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,129.80 : 394,735.86 = 172,887 : x
  2. Step 2: Convert to fraction form
    286,129.80/394,735.86 = 172,887/x
  3. Step 3: Cross multiply
    286,129.80x = 394,735.86 × 172,887
  4. Step 4: Simplify right side
    286,129.80x = 68,244,698,627.82
  5. Step 5: Solve for x
    x = 68,244,698,627.82/286,129.80
  6. Step 6: Final answer
    x = 238,509.58

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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.