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Finding the Fourth Proportional to 538,635.92, 743,312.48 and 293,620.64

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Solution

The fourth proportional to 538,635.92, 743,312.48 and 293,620.64 is: 405,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,635.92 : 743,312.48 = 293,620.64 : x
  2. Step 2: Convert to fraction form
    538,635.92/743,312.48 = 293,620.64/x
  3. Step 3: Cross multiply
    538,635.92x = 743,312.48 × 293,620.64
  4. Step 4: Simplify right side
    538,635.92x = 218,251,880,912.92
  5. Step 5: Solve for x
    x = 218,251,880,912.92/538,635.92
  6. Step 6: Final answer
    x = 405,193.70

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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.