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Finding the Fourth Proportional to 489,518,992.80, 734,065,912.80 and 161,867,901.60

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Solution

The fourth proportional to 489,518,992.80, 734,065,912.80 and 161,867,901.60 is: 242,731,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,518,992.80 : 734,065,912.80 = 161,867,901.60 : x
  2. Step 2: Convert to fraction form
    489,518,992.80/734,065,912.80 = 161,867,901.60/x
  3. Step 3: Cross multiply
    489,518,992.80x = 734,065,912.80 × 161,867,901.60
  4. Step 4: Simplify right side
    489,518,992.80x = 118,821,708,941,024,576
  5. Step 5: Solve for x
    x = 118,821,708,941,024,576/489,518,992.80
  6. Step 6: Final answer
    x = 242,731,560.35

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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.