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Finding the Fourth Proportional to 289,791.84, 399,776.66 and 204,955.68

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Solution

The fourth proportional to 289,791.84, 399,776.66 and 204,955.68 is: 282,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,791.84 : 399,776.66 = 204,955.68 : x
  2. Step 2: Convert to fraction form
    289,791.84/399,776.66 = 204,955.68/x
  3. Step 3: Cross multiply
    289,791.84x = 399,776.66 × 204,955.68
  4. Step 4: Simplify right side
    289,791.84x = 81,936,499,594.27
  5. Step 5: Solve for x
    x = 81,936,499,594.27/289,791.84
  6. Step 6: Final answer
    x = 282,742.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.