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Finding the Fourth Proportional to 489,888,003.20, 734,832,004.80 and 274,449,257.60

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Solution

The fourth proportional to 489,888,003.20, 734,832,004.80 and 274,449,257.60 is: 411,673,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,888,003.20 : 734,832,004.80 = 274,449,257.60 : x
  2. Step 2: Convert to fraction form
    489,888,003.20/734,832,004.80 = 274,449,257.60/x
  3. Step 3: Cross multiply
    489,888,003.20x = 734,832,004.80 × 274,449,257.60
  4. Step 4: Simplify right side
    489,888,003.20x = 201,674,098,178,079,648
  5. Step 5: Solve for x
    x = 201,674,098,178,079,648/489,888,003.20
  6. Step 6: Final answer
    x = 411,673,886.40

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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.