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Finding the Fourth Proportional to 540,231.30, 810,855.43 and 274,182.75

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Solution

The fourth proportional to 540,231.30, 810,855.43 and 274,182.75 is: 411,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,231.30 : 810,855.43 = 274,182.75 : x
  2. Step 2: Convert to fraction form
    540,231.30/810,855.43 = 274,182.75/x
  3. Step 3: Cross multiply
    540,231.30x = 810,855.43 × 274,182.75
  4. Step 4: Simplify right side
    540,231.30x = 222,322,571,649.83
  5. Step 5: Solve for x
    x = 222,322,571,649.83/540,231.30
  6. Step 6: Final answer
    x = 411,532.19

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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.