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Finding the Fourth Proportional to 422,492.32, 583,115.94 and 269,578

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Solution

The fourth proportional to 422,492.32, 583,115.94 and 269,578 is: 372,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,492.32 : 583,115.94 = 269,578 : x
  2. Step 2: Convert to fraction form
    422,492.32/583,115.94 = 269,578/x
  3. Step 3: Cross multiply
    422,492.32x = 583,115.94 × 269,578
  4. Step 4: Simplify right side
    422,492.32x = 157,195,228,873.32
  5. Step 5: Solve for x
    x = 157,195,228,873.32/422,492.32
  6. Step 6: Final answer
    x = 372,066.48

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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.