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Finding the Fourth Proportional to 291,229.63, 401,742.75 and 200,427.95

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Solution

The fourth proportional to 291,229.63, 401,742.75 and 200,427.95 is: 276,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,229.63 : 401,742.75 = 200,427.95 : x
  2. Step 2: Convert to fraction form
    291,229.63/401,742.75 = 200,427.95/x
  3. Step 3: Cross multiply
    291,229.63x = 401,742.75 × 200,427.95
  4. Step 4: Simplify right side
    291,229.63x = 80,520,475,809.86
  5. Step 5: Solve for x
    x = 80,520,475,809.86/291,229.63
  6. Step 6: Final answer
    x = 276,484.49

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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.