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Finding the Fourth Proportional to 494,624.40, 741,353.40 and 257,845.20

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Solution

The fourth proportional to 494,624.40, 741,353.40 and 257,845.20 is: 386,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,624.40 : 741,353.40 = 257,845.20 : x
  2. Step 2: Convert to fraction form
    494,624.40/741,353.40 = 257,845.20/x
  3. Step 3: Cross multiply
    494,624.40x = 741,353.40 × 257,845.20
  4. Step 4: Simplify right side
    494,624.40x = 191,154,415,693.68
  5. Step 5: Solve for x
    x = 191,154,415,693.68/494,624.40
  6. Step 6: Final answer
    x = 386,463.78

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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.