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Finding the Fourth Proportional to 308,974.50, 463,464.54 and 121,986

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Solution

The fourth proportional to 308,974.50, 463,464.54 and 121,986 is: 182,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,974.50 : 463,464.54 = 121,986 : x
  2. Step 2: Convert to fraction form
    308,974.50/463,464.54 = 121,986/x
  3. Step 3: Cross multiply
    308,974.50x = 463,464.54 × 121,986
  4. Step 4: Simplify right side
    308,974.50x = 56,536,185,376.44
  5. Step 5: Solve for x
    x = 56,536,185,376.44/308,974.50
  6. Step 6: Final answer
    x = 182,980.10

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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.