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Finding the Fourth Proportional to 305,616.88, 458,321.48 and 105,890.64

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Solution

The fourth proportional to 305,616.88, 458,321.48 and 105,890.64 is: 158,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,616.88 : 458,321.48 = 105,890.64 : x
  2. Step 2: Convert to fraction form
    305,616.88/458,321.48 = 105,890.64/x
  3. Step 3: Cross multiply
    305,616.88x = 458,321.48 × 105,890.64
  4. Step 4: Simplify right side
    305,616.88x = 48,531,954,842.95
  5. Step 5: Solve for x
    x = 48,531,954,842.95/305,616.88
  6. Step 6: Final answer
    x = 158,799.98

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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.