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Finding the Fourth Proportional to 311,878,478.40, 467,313,832.80 and 196,656,820.80

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Solution

The fourth proportional to 311,878,478.40, 467,313,832.80 and 196,656,820.80 is: 294,667,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,878,478.40 : 467,313,832.80 = 196,656,820.80 : x
  2. Step 2: Convert to fraction form
    311,878,478.40/467,313,832.80 = 196,656,820.80/x
  3. Step 3: Cross multiply
    311,878,478.40x = 467,313,832.80 × 196,656,820.80
  4. Step 4: Simplify right side
    311,878,478.40x = 91,900,452,674,310,768
  5. Step 5: Solve for x
    x = 91,900,452,674,310,768/311,878,478.40
  6. Step 6: Final answer
    x = 294,667,503.66

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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.