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Finding the Fourth Proportional to 380,611.73, 525,300.14 and 219,435.30

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Solution

The fourth proportional to 380,611.73, 525,300.14 and 219,435.30 is: 302,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,611.73 : 525,300.14 = 219,435.30 : x
  2. Step 2: Convert to fraction form
    380,611.73/525,300.14 = 219,435.30/x
  3. Step 3: Cross multiply
    380,611.73x = 525,300.14 × 219,435.30
  4. Step 4: Simplify right side
    380,611.73x = 115,269,392,713.77
  5. Step 5: Solve for x
    x = 115,269,392,713.77/380,611.73
  6. Step 6: Final answer
    x = 302,852.97

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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.