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Finding the Fourth Proportional to 422,341.79, 582,364.63 and 269,137.30

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Solution

The fourth proportional to 422,341.79, 582,364.63 and 269,137.30 is: 371,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,341.79 : 582,364.63 = 269,137.30 : x
  2. Step 2: Convert to fraction form
    422,341.79/582,364.63 = 269,137.30/x
  3. Step 3: Cross multiply
    422,341.79x = 582,364.63 × 269,137.30
  4. Step 4: Simplify right side
    422,341.79x = 156,736,044,133.70
  5. Step 5: Solve for x
    x = 156,736,044,133.70/422,341.79
  6. Step 6: Final answer
    x = 371,111.85

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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.