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Finding the Fourth Proportional to 281,387.71, 388,655.88 and 204,785.30

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Solution

The fourth proportional to 281,387.71, 388,655.88 and 204,785.30 is: 282,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,387.71 : 388,655.88 = 204,785.30 : x
  2. Step 2: Convert to fraction form
    281,387.71/388,655.88 = 204,785.30/x
  3. Step 3: Cross multiply
    281,387.71x = 388,655.88 × 204,785.30
  4. Step 4: Simplify right side
    281,387.71x = 79,591,010,982.56
  5. Step 5: Solve for x
    x = 79,591,010,982.56/281,387.71
  6. Step 6: Final answer
    x = 282,851.77

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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.