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Finding the Fourth Proportional to 379,783.80, 524,100.72 and 218,580

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Solution

The fourth proportional to 379,783.80, 524,100.72 and 218,580 is: 301,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,783.80 : 524,100.72 = 218,580 : x
  2. Step 2: Convert to fraction form
    379,783.80/524,100.72 = 218,580/x
  3. Step 3: Cross multiply
    379,783.80x = 524,100.72 × 218,580
  4. Step 4: Simplify right side
    379,783.80x = 114,557,935,377.60
  5. Step 5: Solve for x
    x = 114,557,935,377.60/379,783.80
  6. Step 6: Final answer
    x = 301,639.87

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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.