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Finding the Fourth Proportional to 494,864.36, 741,634.78 and 257,709.16

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Solution

The fourth proportional to 494,864.36, 741,634.78 and 257,709.16 is: 386,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,864.36 : 741,634.78 = 257,709.16 : x
  2. Step 2: Convert to fraction form
    494,864.36/741,634.78 = 257,709.16/x
  3. Step 3: Cross multiply
    494,864.36x = 741,634.78 × 257,709.16
  4. Step 4: Simplify right side
    494,864.36x = 191,126,076,180.59
  5. Step 5: Solve for x
    x = 191,126,076,180.59/494,864.36
  6. Step 6: Final answer
    x = 386,219.12

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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.