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Finding the Fourth Proportional to 269,287.70, 403,931.55 and 82,298.90

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Solution

The fourth proportional to 269,287.70, 403,931.55 and 82,298.90 is: 123,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,287.70 : 403,931.55 = 82,298.90 : x
  2. Step 2: Convert to fraction form
    269,287.70/403,931.55 = 82,298.90/x
  3. Step 3: Cross multiply
    269,287.70x = 403,931.55 × 82,298.90
  4. Step 4: Simplify right side
    269,287.70x = 33,243,122,240.30
  5. Step 5: Solve for x
    x = 33,243,122,240.30/269,287.70
  6. Step 6: Final answer
    x = 123,448.35

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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.