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Finding the Fourth Proportional to 368,905.95, 509,109.21 and 225,621

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Solution

The fourth proportional to 368,905.95, 509,109.21 and 225,621 is: 311,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,905.95 : 509,109.21 = 225,621 : x
  2. Step 2: Convert to fraction form
    368,905.95/509,109.21 = 225,621/x
  3. Step 3: Cross multiply
    368,905.95x = 509,109.21 × 225,621
  4. Step 4: Simplify right side
    368,905.95x = 114,865,729,069.41
  5. Step 5: Solve for x
    x = 114,865,729,069.41/368,905.95
  6. Step 6: Final answer
    x = 311,368.60

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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.