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Finding the Fourth Proportional to 305,496.45, 458,408.70 and 128,021.40

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Solution

The fourth proportional to 305,496.45, 458,408.70 and 128,021.40 is: 192,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,496.45 : 458,408.70 = 128,021.40 : x
  2. Step 2: Convert to fraction form
    305,496.45/458,408.70 = 128,021.40/x
  3. Step 3: Cross multiply
    305,496.45x = 458,408.70 × 128,021.40
  4. Step 4: Simplify right side
    305,496.45x = 58,686,123,546.18
  5. Step 5: Solve for x
    x = 58,686,123,546.18/305,496.45
  6. Step 6: Final answer
    x = 192,100.84

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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.