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Finding the Fourth Proportional to 306,048.40, 459,072.60 and 81,408.40

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Solution

The fourth proportional to 306,048.40, 459,072.60 and 81,408.40 is: 122,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,048.40 : 459,072.60 = 81,408.40 : x
  2. Step 2: Convert to fraction form
    306,048.40/459,072.60 = 81,408.40/x
  3. Step 3: Cross multiply
    306,048.40x = 459,072.60 × 81,408.40
  4. Step 4: Simplify right side
    306,048.40x = 37,372,365,849.84
  5. Step 5: Solve for x
    x = 37,372,365,849.84/306,048.40
  6. Step 6: Final answer
    x = 122,112.60

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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.