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Finding the Fourth Proportional to 286,189.18, 394,959.48 and 165,335.56

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Solution

The fourth proportional to 286,189.18, 394,959.48 and 165,335.56 is: 228,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,189.18 : 394,959.48 = 165,335.56 : x
  2. Step 2: Convert to fraction form
    286,189.18/394,959.48 = 165,335.56/x
  3. Step 3: Cross multiply
    286,189.18x = 394,959.48 × 165,335.56
  4. Step 4: Simplify right side
    286,189.18x = 65,300,846,803.11
  5. Step 5: Solve for x
    x = 65,300,846,803.11/286,189.18
  6. Step 6: Final answer
    x = 228,173.71

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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.