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Finding the Fourth Proportional to 421,361.34, 632,039.58 and 140,876.16

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Solution

The fourth proportional to 421,361.34, 632,039.58 and 140,876.16 is: 211,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,361.34 : 632,039.58 = 140,876.16 : x
  2. Step 2: Convert to fraction form
    421,361.34/632,039.58 = 140,876.16/x
  3. Step 3: Cross multiply
    421,361.34x = 632,039.58 × 140,876.16
  4. Step 4: Simplify right side
    421,361.34x = 89,039,308,998.41
  5. Step 5: Solve for x
    x = 89,039,308,998.41/421,361.34
  6. Step 6: Final answer
    x = 211,313.43

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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.