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Finding the Fourth Proportional to 256,808,369.64, 384,985,803.84 and 196,493,359.08

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Solution

The fourth proportional to 256,808,369.64, 384,985,803.84 and 196,493,359.08 is: 294,566,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,808,369.64 : 384,985,803.84 = 196,493,359.08 : x
  2. Step 2: Convert to fraction form
    256,808,369.64/384,985,803.84 = 196,493,359.08/x
  3. Step 3: Cross multiply
    256,808,369.64x = 384,985,803.84 × 196,493,359.08
  4. Step 4: Simplify right side
    256,808,369.64x = 75,647,153,794,635,568
  5. Step 5: Solve for x
    x = 75,647,153,794,635,568/256,808,369.64
  6. Step 6: Final answer
    x = 294,566,543.53

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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.