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Finding the Fourth Proportional to 286,090.68, 394,713.90 and 165,216

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Solution

The fourth proportional to 286,090.68, 394,713.90 and 165,216 is: 227,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,090.68 : 394,713.90 = 165,216 : x
  2. Step 2: Convert to fraction form
    286,090.68/394,713.90 = 165,216/x
  3. Step 3: Cross multiply
    286,090.68x = 394,713.90 × 165,216
  4. Step 4: Simplify right side
    286,090.68x = 65,213,051,702.40
  5. Step 5: Solve for x
    x = 65,213,051,702.40/286,090.68
  6. Step 6: Final answer
    x = 227,945.39

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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.