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Finding the Fourth Proportional to 378,076,908.30, 566,891,413.65 and 196,678,380.30

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Solution

The fourth proportional to 378,076,908.30, 566,891,413.65 and 196,678,380.30 is: 294,901,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,076,908.30 : 566,891,413.65 = 196,678,380.30 : x
  2. Step 2: Convert to fraction form
    378,076,908.30/566,891,413.65 = 196,678,380.30/x
  3. Step 3: Cross multiply
    378,076,908.30x = 566,891,413.65 × 196,678,380.30
  4. Step 4: Simplify right side
    378,076,908.30x = 111,495,285,042,659,312
  5. Step 5: Solve for x
    x = 111,495,285,042,659,312/378,076,908.30
  6. Step 6: Final answer
    x = 294,901,070.64

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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.