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Finding the Fourth Proportional to 223,333.63, 308,361.31 and 137,408.22

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Solution

The fourth proportional to 223,333.63, 308,361.31 and 137,408.22 is: 189,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,333.63 : 308,361.31 = 137,408.22 : x
  2. Step 2: Convert to fraction form
    223,333.63/308,361.31 = 137,408.22/x
  3. Step 3: Cross multiply
    223,333.63x = 308,361.31 × 137,408.22
  4. Step 4: Simplify right side
    223,333.63x = 42,371,378,380.45
  5. Step 5: Solve for x
    x = 42,371,378,380.45/223,333.63
  6. Step 6: Final answer
    x = 189,722.34

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1.5x scale

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.