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Finding the Fourth Proportional to 489,800.49, 734,512.00 and 190,241.63

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Solution

The fourth proportional to 489,800.49, 734,512.00 and 190,241.63 is: 285,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,800.49 : 734,512.00 = 190,241.63 : x
  2. Step 2: Convert to fraction form
    489,800.49/734,512.00 = 190,241.63/x
  3. Step 3: Cross multiply
    489,800.49x = 734,512.00 × 190,241.63
  4. Step 4: Simplify right side
    489,800.49x = 139,734,759,097.52
  5. Step 5: Solve for x
    x = 139,734,759,097.52/489,800.49
  6. Step 6: Final answer
    x = 285,289.14

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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.