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Finding the Fourth Proportional to 229,930.24, 317,300.48 and 129,328

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Solution

The fourth proportional to 229,930.24, 317,300.48 and 129,328 is: 178,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,930.24 : 317,300.48 = 129,328 : x
  2. Step 2: Convert to fraction form
    229,930.24/317,300.48 = 129,328/x
  3. Step 3: Cross multiply
    229,930.24x = 317,300.48 × 129,328
  4. Step 4: Simplify right side
    229,930.24x = 41,035,836,477.44
  5. Step 5: Solve for x
    x = 41,035,836,477.44/229,930.24
  6. Step 6: Final answer
    x = 178,470.81

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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.