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Finding the Fourth Proportional to 299,408.81, 413,086.03 and 213,381.34

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Solution

The fourth proportional to 299,408.81, 413,086.03 and 213,381.34 is: 294,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,408.81 : 413,086.03 = 213,381.34 : x
  2. Step 2: Convert to fraction form
    299,408.81/413,086.03 = 213,381.34/x
  3. Step 3: Cross multiply
    299,408.81x = 413,086.03 × 213,381.34
  4. Step 4: Simplify right side
    299,408.81x = 88,144,849,050.51
  5. Step 5: Solve for x
    x = 88,144,849,050.51/299,408.81
  6. Step 6: Final answer
    x = 294,396.32

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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.