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Finding the Fourth Proportional to 286,908.66, 395,982 and 166,029.12

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Solution

The fourth proportional to 286,908.66, 395,982 and 166,029.12 is: 229,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,908.66 : 395,982 = 166,029.12 : x
  2. Step 2: Convert to fraction form
    286,908.66/395,982 = 166,029.12/x
  3. Step 3: Cross multiply
    286,908.66x = 395,982 × 166,029.12
  4. Step 4: Simplify right side
    286,908.66x = 65,744,542,995.84
  5. Step 5: Solve for x
    x = 65,744,542,995.84/286,908.66
  6. Step 6: Final answer
    x = 229,147.99

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1.5x scale

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.