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Finding the Fourth Proportional to 489,059.44, 674,774.28 and 282,277.24

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Solution

The fourth proportional to 489,059.44, 674,774.28 and 282,277.24 is: 389,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,059.44 : 674,774.28 = 282,277.24 : x
  2. Step 2: Convert to fraction form
    489,059.44/674,774.28 = 282,277.24/x
  3. Step 3: Cross multiply
    489,059.44x = 674,774.28 × 282,277.24
  4. Step 4: Simplify right side
    489,059.44x = 190,473,419,694.45
  5. Step 5: Solve for x
    x = 190,473,419,694.45/489,059.44
  6. Step 6: Final answer
    x = 389,468.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.