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Finding the Fourth Proportional to 266,908.28, 400,520.34 and 98,546

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Solution

The fourth proportional to 266,908.28, 400,520.34 and 98,546 is: 147,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,908.28 : 400,520.34 = 98,546 : x
  2. Step 2: Convert to fraction form
    266,908.28/400,520.34 = 98,546/x
  3. Step 3: Cross multiply
    266,908.28x = 400,520.34 × 98,546
  4. Step 4: Simplify right side
    266,908.28x = 39,469,677,425.64
  5. Step 5: Solve for x
    x = 39,469,677,425.64/266,908.28
  6. Step 6: Final answer
    x = 147,877.31

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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.