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Finding the Fourth Proportional to 311,877,986.90, 467,313,095.55 and 196,656,329.30

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Solution

The fourth proportional to 311,877,986.90, 467,313,095.55 and 196,656,329.30 is: 294,666,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,877,986.90 : 467,313,095.55 = 196,656,329.30 : x
  2. Step 2: Convert to fraction form
    311,877,986.90/467,313,095.55 = 196,656,329.30/x
  3. Step 3: Cross multiply
    311,877,986.90x = 467,313,095.55 × 196,656,329.30
  4. Step 4: Simplify right side
    311,877,986.90x = 91,900,078,004,683,168
  5. Step 5: Solve for x
    x = 91,900,078,004,683,168/311,877,986.90
  6. Step 6: Final answer
    x = 294,666,766.70

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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.