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Finding the Fourth Proportional to 269,349, 403,025.50 and 215,878.80

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Solution

The fourth proportional to 269,349, 403,025.50 and 215,878.80 is: 323,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,349 : 403,025.50 = 215,878.80 : x
  2. Step 2: Convert to fraction form
    269,349/403,025.50 = 215,878.80/x
  3. Step 3: Cross multiply
    269,349x = 403,025.50 × 215,878.80
  4. Step 4: Simplify right side
    269,349x = 87,004,661,309.40
  5. Step 5: Solve for x
    x = 87,004,661,309.40/269,349
  6. Step 6: Final answer
    x = 323,018.32

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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.