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Finding the Fourth Proportional to 308,047.20, 461,961.45 and 213,277.20

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Solution

The fourth proportional to 308,047.20, 461,961.45 and 213,277.20 is: 319,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,047.20 : 461,961.45 = 213,277.20 : x
  2. Step 2: Convert to fraction form
    308,047.20/461,961.45 = 213,277.20/x
  3. Step 3: Cross multiply
    308,047.20x = 461,961.45 × 213,277.20
  4. Step 4: Simplify right side
    308,047.20x = 98,525,844,563.94
  5. Step 5: Solve for x
    x = 98,525,844,563.94/308,047.20
  6. Step 6: Final answer
    x = 319,840.09

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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.