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Finding the Fourth Proportional to 421,077.96, 632,054.34 and 281,809.80

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Solution

The fourth proportional to 421,077.96, 632,054.34 and 281,809.80 is: 423,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,077.96 : 632,054.34 = 281,809.80 : x
  2. Step 2: Convert to fraction form
    421,077.96/632,054.34 = 281,809.80/x
  3. Step 3: Cross multiply
    421,077.96x = 632,054.34 × 281,809.80
  4. Step 4: Simplify right side
    421,077.96x = 178,119,107,144.53
  5. Step 5: Solve for x
    x = 178,119,107,144.53/421,077.96
  6. Step 6: Final answer
    x = 423,007.43

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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.