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Finding the Fourth Proportional to 308,646.40, 463,747.20 and 196,380.40

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Solution

The fourth proportional to 308,646.40, 463,747.20 and 196,380.40 is: 295,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,646.40 : 463,747.20 = 196,380.40 : x
  2. Step 2: Convert to fraction form
    308,646.40/463,747.20 = 196,380.40/x
  3. Step 3: Cross multiply
    308,646.40x = 463,747.20 × 196,380.40
  4. Step 4: Simplify right side
    308,646.40x = 91,070,860,634.88
  5. Step 5: Solve for x
    x = 91,070,860,634.88/308,646.40
  6. Step 6: Final answer
    x = 295,065.36

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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.