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Finding the Fourth Proportional to 279,595,999.80, 419,393,999.70 and 157,151,993.40

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Solution

The fourth proportional to 279,595,999.80, 419,393,999.70 and 157,151,993.40 is: 235,727,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,595,999.80 : 419,393,999.70 = 157,151,993.40 : x
  2. Step 2: Convert to fraction form
    279,595,999.80/419,393,999.70 = 157,151,993.40/x
  3. Step 3: Cross multiply
    279,595,999.80x = 419,393,999.70 × 157,151,993.40
  4. Step 4: Simplify right side
    279,595,999.80x = 65,908,603,072,854,000
  5. Step 5: Solve for x
    x = 65,908,603,072,854,000/279,595,999.80
  6. Step 6: Final answer
    x = 235,727,990.10

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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.