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Finding the Fourth Proportional to 283,872, 391,746.24 and 170,696.64

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Solution

The fourth proportional to 283,872, 391,746.24 and 170,696.64 is: 235,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,872 : 391,746.24 = 170,696.64 : x
  2. Step 2: Convert to fraction form
    283,872/391,746.24 = 170,696.64/x
  3. Step 3: Cross multiply
    283,872x = 391,746.24 × 170,696.64
  4. Step 4: Simplify right side
    283,872x = 66,869,766,900.63
  5. Step 5: Solve for x
    x = 66,869,766,900.63/283,872
  6. Step 6: Final answer
    x = 235,563.09

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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.