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Finding the Fourth Proportional to 305,546, 458,331.42 and 145,539.68

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Solution

The fourth proportional to 305,546, 458,331.42 and 145,539.68 is: 218,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,546 : 458,331.42 = 145,539.68 : x
  2. Step 2: Convert to fraction form
    305,546/458,331.42 = 145,539.68/x
  3. Step 3: Cross multiply
    305,546x = 458,331.42 × 145,539.68
  4. Step 4: Simplify right side
    305,546x = 66,705,408,200.75
  5. Step 5: Solve for x
    x = 66,705,408,200.75/305,546
  6. Step 6: Final answer
    x = 218,315.44

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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.