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Finding the Fourth Proportional to 378,076,906.80, 566,891,411.40 and 196,678,378.80

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Solution

The fourth proportional to 378,076,906.80, 566,891,411.40 and 196,678,378.80 is: 294,901,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,076,906.80 : 566,891,411.40 = 196,678,378.80 : x
  2. Step 2: Convert to fraction form
    378,076,906.80/566,891,411.40 = 196,678,378.80/x
  3. Step 3: Cross multiply
    378,076,906.80x = 566,891,411.40 × 196,678,378.80
  4. Step 4: Simplify right side
    378,076,906.80x = 111,495,283,749,795,840
  5. Step 5: Solve for x
    x = 111,495,283,749,795,840/378,076,906.80
  6. Step 6: Final answer
    x = 294,901,068.39

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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.