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Finding the Fourth Proportional to 281,374.56, 421,695.72 and 214,569

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Solution

The fourth proportional to 281,374.56, 421,695.72 and 214,569 is: 321,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,374.56 : 421,695.72 = 214,569 : x
  2. Step 2: Convert to fraction form
    281,374.56/421,695.72 = 214,569/x
  3. Step 3: Cross multiply
    281,374.56x = 421,695.72 × 214,569
  4. Step 4: Simplify right side
    281,374.56x = 90,482,828,944.68
  5. Step 5: Solve for x
    x = 90,482,828,944.68/281,374.56
  6. Step 6: Final answer
    x = 321,574.31

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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.