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Finding the Fourth Proportional to 269,354.48, 403,992.82 and 82,315.76

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Solution

The fourth proportional to 269,354.48, 403,992.82 and 82,315.76 is: 123,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,354.48 : 403,992.82 = 82,315.76 : x
  2. Step 2: Convert to fraction form
    269,354.48/403,992.82 = 82,315.76/x
  3. Step 3: Cross multiply
    269,354.48x = 403,992.82 × 82,315.76
  4. Step 4: Simplify right side
    269,354.48x = 33,254,976,012.84
  5. Step 5: Solve for x
    x = 33,254,976,012.84/269,354.48
  6. Step 6: Final answer
    x = 123,461.75

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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.