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Finding the Fourth Proportional to 380,514.75, 525,103.92 and 210,745.23

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Solution

The fourth proportional to 380,514.75, 525,103.92 and 210,745.23 is: 290,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,514.75 : 525,103.92 = 210,745.23 : x
  2. Step 2: Convert to fraction form
    380,514.75/525,103.92 = 210,745.23/x
  3. Step 3: Cross multiply
    380,514.75x = 525,103.92 × 210,745.23
  4. Step 4: Simplify right side
    380,514.75x = 110,663,146,394.30
  5. Step 5: Solve for x
    x = 110,663,146,394.30/380,514.75
  6. Step 6: Final answer
    x = 290,824.85

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1.5x scale

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.