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Finding the Fourth Proportional to 380,830.97, 525,527.22 and 219,676.40

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Solution

The fourth proportional to 380,830.97, 525,527.22 and 219,676.40 is: 303,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,830.97 : 525,527.22 = 219,676.40 : x
  2. Step 2: Convert to fraction form
    380,830.97/525,527.22 = 219,676.40/x
  3. Step 3: Cross multiply
    380,830.97x = 525,527.22 × 219,676.40
  4. Step 4: Simplify right side
    380,830.97x = 115,445,929,061.06
  5. Step 5: Solve for x
    x = 115,445,929,061.06/380,830.97
  6. Step 6: Final answer
    x = 303,142.18

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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.