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Finding the Fourth Proportional to 286,141.71, 394,894.20 and 165,288.09

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Solution

The fourth proportional to 286,141.71, 394,894.20 and 165,288.09 is: 228,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,141.71 : 394,894.20 = 165,288.09 : x
  2. Step 2: Convert to fraction form
    286,141.71/394,894.20 = 165,288.09/x
  3. Step 3: Cross multiply
    286,141.71x = 394,894.20 × 165,288.09
  4. Step 4: Simplify right side
    286,141.71x = 65,271,310,170.76
  5. Step 5: Solve for x
    x = 65,271,310,170.76/286,141.71
  6. Step 6: Final answer
    x = 228,108.34

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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.