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Finding the Fourth Proportional to 230,388, 318,042 and 162,460.32

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Solution

The fourth proportional to 230,388, 318,042 and 162,460.32 is: 224,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,388 : 318,042 = 162,460.32 : x
  2. Step 2: Convert to fraction form
    230,388/318,042 = 162,460.32/x
  3. Step 3: Cross multiply
    230,388x = 318,042 × 162,460.32
  4. Step 4: Simplify right side
    230,388x = 51,669,205,093.44
  5. Step 5: Solve for x
    x = 51,669,205,093.44/230,388
  6. Step 6: Final answer
    x = 224,270.38

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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.