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Finding the Fourth Proportional to 281,081.16, 421,594.40 and 154,679.85

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Solution

The fourth proportional to 281,081.16, 421,594.40 and 154,679.85 is: 232,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,081.16 : 421,594.40 = 154,679.85 : x
  2. Step 2: Convert to fraction form
    281,081.16/421,594.40 = 154,679.85/x
  3. Step 3: Cross multiply
    281,081.16x = 421,594.40 × 154,679.85
  4. Step 4: Simplify right side
    281,081.16x = 65,212,158,552.84
  5. Step 5: Solve for x
    x = 65,212,158,552.84/281,081.16
  6. Step 6: Final answer
    x = 232,004.73

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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.