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Finding the Fourth Proportional to 305,281.80, 421,315.56 and 177,954.72

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Solution

The fourth proportional to 305,281.80, 421,315.56 and 177,954.72 is: 245,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,281.80 : 421,315.56 = 177,954.72 : x
  2. Step 2: Convert to fraction form
    305,281.80/421,315.56 = 177,954.72/x
  3. Step 3: Cross multiply
    305,281.80x = 421,315.56 × 177,954.72
  4. Step 4: Simplify right side
    305,281.80x = 74,975,092,511.44
  5. Step 5: Solve for x
    x = 74,975,092,511.44/305,281.80
  6. Step 6: Final answer
    x = 245,593.06

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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.