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Finding the Fourth Proportional to 409,961.91, 565,651.18 and 248,813.22

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Solution

The fourth proportional to 409,961.91, 565,651.18 and 248,813.22 is: 343,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,961.91 : 565,651.18 = 248,813.22 : x
  2. Step 2: Convert to fraction form
    409,961.91/565,651.18 = 248,813.22/x
  3. Step 3: Cross multiply
    409,961.91x = 565,651.18 × 248,813.22
  4. Step 4: Simplify right side
    409,961.91x = 140,741,491,492.60
  5. Step 5: Solve for x
    x = 140,741,491,492.60/409,961.91
  6. Step 6: Final answer
    x = 343,303.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.