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Finding the Fourth Proportional to 368,901.46, 509,102.96 and 225,616.50

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Solution

The fourth proportional to 368,901.46, 509,102.96 and 225,616.50 is: 311,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,901.46 : 509,102.96 = 225,616.50 : x
  2. Step 2: Convert to fraction form
    368,901.46/509,102.96 = 225,616.50/x
  3. Step 3: Cross multiply
    368,901.46x = 509,102.96 × 225,616.50
  4. Step 4: Simplify right side
    368,901.46x = 114,862,027,974.84
  5. Step 5: Solve for x
    x = 114,862,027,974.84/368,901.46
  6. Step 6: Final answer
    x = 311,362.36

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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.