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Finding the Fourth Proportional to 286,188.18, 394,958.10 and 165,334.56

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Solution

The fourth proportional to 286,188.18, 394,958.10 and 165,334.56 is: 228,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,188.18 : 394,958.10 = 165,334.56 : x
  2. Step 2: Convert to fraction form
    286,188.18/394,958.10 = 165,334.56/x
  3. Step 3: Cross multiply
    286,188.18x = 394,958.10 × 165,334.56
  4. Step 4: Simplify right side
    286,188.18x = 65,300,223,681.94
  5. Step 5: Solve for x
    x = 65,300,223,681.94/286,188.18
  6. Step 6: Final answer
    x = 228,172.33

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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.