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Finding the Fourth Proportional to 402,361.36, 603,448.41 and 149,760.81

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Solution

The fourth proportional to 402,361.36, 603,448.41 and 149,760.81 is: 224,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,361.36 : 603,448.41 = 149,760.81 : x
  2. Step 2: Convert to fraction form
    402,361.36/603,448.41 = 149,760.81/x
  3. Step 3: Cross multiply
    402,361.36x = 603,448.41 × 149,760.81
  4. Step 4: Simplify right side
    402,361.36x = 90,372,925,218.55
  5. Step 5: Solve for x
    x = 90,372,925,218.55/402,361.36
  6. Step 6: Final answer
    x = 224,606.37

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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.