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Finding the Fourth Proportional to 489,943,092.80, 734,914,639.20 and 444,593,460.80

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Solution

The fourth proportional to 489,943,092.80, 734,914,639.20 and 444,593,460.80 is: 666,890,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,943,092.80 : 734,914,639.20 = 444,593,460.80 : x
  2. Step 2: Convert to fraction form
    489,943,092.80/734,914,639.20 = 444,593,460.80/x
  3. Step 3: Cross multiply
    489,943,092.80x = 734,914,639.20 × 444,593,460.80
  4. Step 4: Simplify right side
    489,943,092.80x = 326,738,242,834,511,360
  5. Step 5: Solve for x
    x = 326,738,242,834,511,360/489,943,092.80
  6. Step 6: Final answer
    x = 666,890,191.20

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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.