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Finding the Fourth Proportional to 311,878,347.40, 467,313,636.30 and 196,656,689.80

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Solution

The fourth proportional to 311,878,347.40, 467,313,636.30 and 196,656,689.80 is: 294,667,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,878,347.40 : 467,313,636.30 = 196,656,689.80 : x
  2. Step 2: Convert to fraction form
    311,878,347.40/467,313,636.30 = 196,656,689.80/x
  3. Step 3: Cross multiply
    311,878,347.40x = 467,313,636.30 × 196,656,689.80
  4. Step 4: Simplify right side
    311,878,347.40x = 91,900,352,813,159,120
  5. Step 5: Solve for x
    x = 91,900,352,813,159,120/311,878,347.40
  6. Step 6: Final answer
    x = 294,667,307.23

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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.