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Finding the Fourth Proportional to 422,495.32, 583,120.08 and 269,581

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Solution

The fourth proportional to 422,495.32, 583,120.08 and 269,581 is: 372,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,495.32 : 583,120.08 = 269,581 : x
  2. Step 2: Convert to fraction form
    422,495.32/583,120.08 = 269,581/x
  3. Step 3: Cross multiply
    422,495.32x = 583,120.08 × 269,581
  4. Step 4: Simplify right side
    422,495.32x = 157,198,094,286.48
  5. Step 5: Solve for x
    x = 157,198,094,286.48/422,495.32
  6. Step 6: Final answer
    x = 372,070.62

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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.