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Finding the Fourth Proportional to 675,385.50, 1,012,575.22 and 409,081.80

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Solution

The fourth proportional to 675,385.50, 1,012,575.22 and 409,081.80 is: 613,318.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,385.50 : 1,012,575.22 = 409,081.80 : x
  2. Step 2: Convert to fraction form
    675,385.50/1,012,575.22 = 409,081.80/x
  3. Step 3: Cross multiply
    675,385.50x = 1,012,575.22 × 409,081.80
  4. Step 4: Simplify right side
    675,385.50x = 414,226,093,633.00
  5. Step 5: Solve for x
    x = 414,226,093,633.00/675,385.50
  6. Step 6: Final answer
    x = 613,318.01

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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.