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Finding the Fourth Proportional to 422,491.32, 583,114.56 and 269,577

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Solution

The fourth proportional to 422,491.32, 583,114.56 and 269,577 is: 372,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,491.32 : 583,114.56 = 269,577 : x
  2. Step 2: Convert to fraction form
    422,491.32/583,114.56 = 269,577/x
  3. Step 3: Cross multiply
    422,491.32x = 583,114.56 × 269,577
  4. Step 4: Simplify right side
    422,491.32x = 157,194,273,741.12
  5. Step 5: Solve for x
    x = 157,194,273,741.12/422,491.32
  6. Step 6: Final answer
    x = 372,065.10

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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.