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Finding the Fourth Proportional to 379,930.70, 524,258.70 and 218,838.14

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Solution

The fourth proportional to 379,930.70, 524,258.70 and 218,838.14 is: 301,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,930.70 : 524,258.70 = 218,838.14 : x
  2. Step 2: Convert to fraction form
    379,930.70/524,258.70 = 218,838.14/x
  3. Step 3: Cross multiply
    379,930.70x = 524,258.70 × 218,838.14
  4. Step 4: Simplify right side
    379,930.70x = 114,727,798,786.82
  5. Step 5: Solve for x
    x = 114,727,798,786.82/379,930.70
  6. Step 6: Final answer
    x = 301,970.33

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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.