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Finding the Fourth Proportional to 286,872, 395,883.36 and 167,640

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Solution

The fourth proportional to 286,872, 395,883.36 and 167,640 is: 231,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,872 : 395,883.36 = 167,640 : x
  2. Step 2: Convert to fraction form
    286,872/395,883.36 = 167,640/x
  3. Step 3: Cross multiply
    286,872x = 395,883.36 × 167,640
  4. Step 4: Simplify right side
    286,872x = 66,365,886,470.40
  5. Step 5: Solve for x
    x = 66,365,886,470.40/286,872
  6. Step 6: Final answer
    x = 231,343.20

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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.