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Finding the Fourth Proportional to 281,794.25, 388,880.80 and 152,736.81

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Solution

The fourth proportional to 281,794.25, 388,880.80 and 152,736.81 is: 210,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,794.25 : 388,880.80 = 152,736.81 : x
  2. Step 2: Convert to fraction form
    281,794.25/388,880.80 = 152,736.81/x
  3. Step 3: Cross multiply
    281,794.25x = 388,880.80 × 152,736.81
  4. Step 4: Simplify right side
    281,794.25x = 59,396,412,862.25
  5. Step 5: Solve for x
    x = 59,396,412,862.25/281,794.25
  6. Step 6: Final answer
    x = 210,779.37

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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.