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Finding the Fourth Proportional to 305,969.40, 458,954.10 and 299,408.40

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Solution

The fourth proportional to 305,969.40, 458,954.10 and 299,408.40 is: 449,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,969.40 : 458,954.10 = 299,408.40 : x
  2. Step 2: Convert to fraction form
    305,969.40/458,954.10 = 299,408.40/x
  3. Step 3: Cross multiply
    305,969.40x = 458,954.10 × 299,408.40
  4. Step 4: Simplify right side
    305,969.40x = 137,414,712,754.44
  5. Step 5: Solve for x
    x = 137,414,712,754.44/305,969.40
  6. Step 6: Final answer
    x = 449,112.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.