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Finding the Fourth Proportional to 309,384.36, 464,283.90 and 198,654.12

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Solution

The fourth proportional to 309,384.36, 464,283.90 and 198,654.12 is: 298,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,384.36 : 464,283.90 = 198,654.12 : x
  2. Step 2: Convert to fraction form
    309,384.36/464,283.90 = 198,654.12/x
  3. Step 3: Cross multiply
    309,384.36x = 464,283.90 × 198,654.12
  4. Step 4: Simplify right side
    309,384.36x = 92,231,909,584.67
  5. Step 5: Solve for x
    x = 92,231,909,584.67/309,384.36
  6. Step 6: Final answer
    x = 298,114.32

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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.