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Finding the Fourth Proportional to 368,910.45, 509,115.42 and 225,625.50

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Solution

The fourth proportional to 368,910.45, 509,115.42 and 225,625.50 is: 311,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,910.45 : 509,115.42 = 225,625.50 : x
  2. Step 2: Convert to fraction form
    368,910.45/509,115.42 = 225,625.50/x
  3. Step 3: Cross multiply
    368,910.45x = 509,115.42 × 225,625.50
  4. Step 4: Simplify right side
    368,910.45x = 114,869,421,195.21
  5. Step 5: Solve for x
    x = 114,869,421,195.21/368,910.45
  6. Step 6: Final answer
    x = 311,374.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.