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Finding the Fourth Proportional to 419,668.02, 629,498.79 and 120,155.94

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Solution

The fourth proportional to 419,668.02, 629,498.79 and 120,155.94 is: 180,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,668.02 : 629,498.79 = 120,155.94 : x
  2. Step 2: Convert to fraction form
    419,668.02/629,498.79 = 120,155.94/x
  3. Step 3: Cross multiply
    419,668.02x = 629,498.79 × 120,155.94
  4. Step 4: Simplify right side
    419,668.02x = 75,638,018,841.31
  5. Step 5: Solve for x
    x = 75,638,018,841.31/419,668.02
  6. Step 6: Final answer
    x = 180,232.98

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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.