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Finding the Fourth Proportional to 266,400, 399,724.02 and 116,620.56

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Solution

The fourth proportional to 266,400, 399,724.02 and 116,620.56 is: 174,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,400 : 399,724.02 = 116,620.56 : x
  2. Step 2: Convert to fraction form
    266,400/399,724.02 = 116,620.56/x
  3. Step 3: Cross multiply
    266,400x = 399,724.02 × 116,620.56
  4. Step 4: Simplify right side
    266,400x = 46,616,039,057.85
  5. Step 5: Solve for x
    x = 46,616,039,057.85/266,400
  6. Step 6: Final answer
    x = 174,985.13

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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.