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Finding the Fourth Proportional to 419,353.78, 629,051.33 and 119,878.15

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Solution

The fourth proportional to 419,353.78, 629,051.33 and 119,878.15 is: 179,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,353.78 : 629,051.33 = 119,878.15 : x
  2. Step 2: Convert to fraction form
    419,353.78/629,051.33 = 119,878.15/x
  3. Step 3: Cross multiply
    419,353.78x = 629,051.33 × 119,878.15
  4. Step 4: Simplify right side
    419,353.78x = 75,409,509,695.44
  5. Step 5: Solve for x
    x = 75,409,509,695.44/419,353.78
  6. Step 6: Final answer
    x = 179,823.13

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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.