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Finding the Fourth Proportional to 286,008.21, 394,593.57 and 163,412.63

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Solution

The fourth proportional to 286,008.21, 394,593.57 and 163,412.63 is: 225,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,008.21 : 394,593.57 = 163,412.63 : x
  2. Step 2: Convert to fraction form
    286,008.21/394,593.57 = 163,412.63/x
  3. Step 3: Cross multiply
    286,008.21x = 394,593.57 × 163,412.63
  4. Step 4: Simplify right side
    286,008.21x = 64,481,572,408.80
  5. Step 5: Solve for x
    x = 64,481,572,408.80/286,008.21
  6. Step 6: Final answer
    x = 225,453.57

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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.