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Finding the Fourth Proportional to 378,076,912.30, 566,891,419.65 and 196,678,384.30

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Solution

The fourth proportional to 378,076,912.30, 566,891,419.65 and 196,678,384.30 is: 294,901,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,076,912.30 : 566,891,419.65 = 196,678,384.30 : x
  2. Step 2: Convert to fraction form
    378,076,912.30/566,891,419.65 = 196,678,384.30/x
  3. Step 3: Cross multiply
    378,076,912.30x = 566,891,419.65 × 196,678,384.30
  4. Step 4: Simplify right side
    378,076,912.30x = 111,495,288,490,295,280
  5. Step 5: Solve for x
    x = 111,495,288,490,295,280/378,076,912.30
  6. Step 6: Final answer
    x = 294,901,076.64

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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.