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Finding the Fourth Proportional to 380,770.15, 525,469.56 and 208,676.65

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Solution

The fourth proportional to 380,770.15, 525,469.56 and 208,676.65 is: 287,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,770.15 : 525,469.56 = 208,676.65 : x
  2. Step 2: Convert to fraction form
    380,770.15/525,469.56 = 208,676.65/x
  3. Step 3: Cross multiply
    380,770.15x = 525,469.56 × 208,676.65
  4. Step 4: Simplify right side
    380,770.15x = 109,653,227,457.77
  5. Step 5: Solve for x
    x = 109,653,227,457.77/380,770.15
  6. Step 6: Final answer
    x = 287,977.48

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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.