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Finding the Fourth Proportional to 494,620.40, 741,347.40 and 257,841.20

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Solution

The fourth proportional to 494,620.40, 741,347.40 and 257,841.20 is: 386,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,620.40 : 741,347.40 = 257,841.20 : x
  2. Step 2: Convert to fraction form
    494,620.40/741,347.40 = 257,841.20/x
  3. Step 3: Cross multiply
    494,620.40x = 741,347.40 × 257,841.20
  4. Step 4: Simplify right side
    494,620.40x = 191,149,903,232.88
  5. Step 5: Solve for x
    x = 191,149,903,232.88/494,620.40
  6. Step 6: Final answer
    x = 386,457.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.