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Finding the Fourth Proportional to 269,849.40, 404,774.10 and 82,870.20

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Solution

The fourth proportional to 269,849.40, 404,774.10 and 82,870.20 is: 124,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,849.40 : 404,774.10 = 82,870.20 : x
  2. Step 2: Convert to fraction form
    269,849.40/404,774.10 = 82,870.20/x
  3. Step 3: Cross multiply
    269,849.40x = 404,774.10 × 82,870.20
  4. Step 4: Simplify right side
    269,849.40x = 33,543,710,621.82
  5. Step 5: Solve for x
    x = 33,543,710,621.82/269,849.40
  6. Step 6: Final answer
    x = 124,305.30

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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.