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Finding the Fourth Proportional to 368,896.95, 509,096.75 and 225,612

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Solution

The fourth proportional to 368,896.95, 509,096.75 and 225,612 is: 311,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,896.95 : 509,096.75 = 225,612 : x
  2. Step 2: Convert to fraction form
    368,896.95/509,096.75 = 225,612/x
  3. Step 3: Cross multiply
    368,896.95x = 509,096.75 × 225,612
  4. Step 4: Simplify right side
    368,896.95x = 114,858,334,832.94
  5. Step 5: Solve for x
    x = 114,858,334,832.94/368,896.95
  6. Step 6: Final answer
    x = 311,356.15

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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.