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Finding the Fourth Proportional to 419,955.63, 629,840.16 and 120,434.91

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Solution

The fourth proportional to 419,955.63, 629,840.16 and 120,434.91 is: 180,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,955.63 : 629,840.16 = 120,434.91 : x
  2. Step 2: Convert to fraction form
    419,955.63/629,840.16 = 120,434.91/x
  3. Step 3: Cross multiply
    419,955.63x = 629,840.16 × 120,434.91
  4. Step 4: Simplify right side
    419,955.63x = 75,854,742,983.99
  5. Step 5: Solve for x
    x = 75,854,742,983.99/419,955.63
  6. Step 6: Final answer
    x = 180,625.61

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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.