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Finding the Fourth Proportional to 281,315.74, 421,682 and 175,892.62

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Solution

The fourth proportional to 281,315.74, 421,682 and 175,892.62 is: 263,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,315.74 : 421,682 = 175,892.62 : x
  2. Step 2: Convert to fraction form
    281,315.74/421,682 = 175,892.62/x
  3. Step 3: Cross multiply
    281,315.74x = 421,682 × 175,892.62
  4. Step 4: Simplify right side
    281,315.74x = 74,170,751,786.84
  5. Step 5: Solve for x
    x = 74,170,751,786.84/281,315.74
  6. Step 6: Final answer
    x = 263,656.60

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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.