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Finding the Fourth Proportional to 281,577.75, 388,577.30 and 168,400.50

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Solution

The fourth proportional to 281,577.75, 388,577.30 and 168,400.50 is: 232,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,577.75 : 388,577.30 = 168,400.50 : x
  2. Step 2: Convert to fraction form
    281,577.75/388,577.30 = 168,400.50/x
  3. Step 3: Cross multiply
    281,577.75x = 388,577.30 × 168,400.50
  4. Step 4: Simplify right side
    281,577.75x = 65,436,610,766.65
  5. Step 5: Solve for x
    x = 65,436,610,766.65/281,577.75
  6. Step 6: Final answer
    x = 232,392.69

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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.