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Finding the Fourth Proportional to 213,469.76, 319,540.34 and 134,417.91

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Solution

The fourth proportional to 213,469.76, 319,540.34 and 134,417.91 is: 201,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,469.76 : 319,540.34 = 134,417.91 : x
  2. Step 2: Convert to fraction form
    213,469.76/319,540.34 = 134,417.91/x
  3. Step 3: Cross multiply
    213,469.76x = 319,540.34 × 134,417.91
  4. Step 4: Simplify right side
    213,469.76x = 42,951,943,991.40
  5. Step 5: Solve for x
    x = 42,951,943,991.40/213,469.76
  6. Step 6: Final answer
    x = 201,208.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.