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Finding the Fourth Proportional to 229,906, 317,270.32 and 129,304

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Solution

The fourth proportional to 229,906, 317,270.32 and 129,304 is: 178,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,906 : 317,270.32 = 129,304 : x
  2. Step 2: Convert to fraction form
    229,906/317,270.32 = 129,304/x
  3. Step 3: Cross multiply
    229,906x = 317,270.32 × 129,304
  4. Step 4: Simplify right side
    229,906x = 41,024,321,457.28
  5. Step 5: Solve for x
    x = 41,024,321,457.28/229,906
  6. Step 6: Final answer
    x = 178,439.54

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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.