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Finding the Fourth Proportional to 256,608,163.20, 384,912,244.80 and 65,131,939.20

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Solution

The fourth proportional to 256,608,163.20, 384,912,244.80 and 65,131,939.20 is: 97,697,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,608,163.20 : 384,912,244.80 = 65,131,939.20 : x
  2. Step 2: Convert to fraction form
    256,608,163.20/384,912,244.80 = 65,131,939.20/x
  3. Step 3: Cross multiply
    256,608,163.20x = 384,912,244.80 × 65,131,939.20
  4. Step 4: Simplify right side
    256,608,163.20x = 25,070,080,925,649,120
  5. Step 5: Solve for x
    x = 25,070,080,925,649,120/256,608,163.20
  6. Step 6: Final answer
    x = 97,697,908.80

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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.