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Finding the Fourth Proportional to 538,591.89, 743,223 and 296,861.16

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Solution

The fourth proportional to 538,591.89, 743,223 and 296,861.16 is: 409,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,591.89 : 743,223 = 296,861.16 : x
  2. Step 2: Convert to fraction form
    538,591.89/743,223 = 296,861.16/x
  3. Step 3: Cross multiply
    538,591.89x = 743,223 × 296,861.16
  4. Step 4: Simplify right side
    538,591.89x = 220,634,041,918.68
  5. Step 5: Solve for x
    x = 220,634,041,918.68/538,591.89
  6. Step 6: Final answer
    x = 409,649.77

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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.