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Finding the Fourth Proportional to 305,539.75, 458,327.13 and 80,894.34

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Solution

The fourth proportional to 305,539.75, 458,327.13 and 80,894.34 is: 121,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,539.75 : 458,327.13 = 80,894.34 : x
  2. Step 2: Convert to fraction form
    305,539.75/458,327.13 = 80,894.34/x
  3. Step 3: Cross multiply
    305,539.75x = 458,327.13 × 80,894.34
  4. Step 4: Simplify right side
    305,539.75x = 37,076,068,126.26
  5. Step 5: Solve for x
    x = 37,076,068,126.26/305,539.75
  6. Step 6: Final answer
    x = 121,346.14

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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.