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Finding the Fourth Proportional to 402,241.52, 603,361.76 and 102,722.32

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Solution

The fourth proportional to 402,241.52, 603,361.76 and 102,722.32 is: 154,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,241.52 : 603,361.76 = 102,722.32 : x
  2. Step 2: Convert to fraction form
    402,241.52/603,361.76 = 102,722.32/x
  3. Step 3: Cross multiply
    402,241.52x = 603,361.76 × 102,722.32
  4. Step 4: Simplify right side
    402,241.52x = 61,978,717,764.47
  5. Step 5: Solve for x
    x = 61,978,717,764.47/402,241.52
  6. Step 6: Final answer
    x = 154,083.34

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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.