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Finding the Fourth Proportional to 539,820.40, 809,039.40 and 414,540.40

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Solution

The fourth proportional to 539,820.40, 809,039.40 and 414,540.40 is: 621,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,820.40 : 809,039.40 = 414,540.40 : x
  2. Step 2: Convert to fraction form
    539,820.40/809,039.40 = 414,540.40/x
  3. Step 3: Cross multiply
    539,820.40x = 809,039.40 × 414,540.40
  4. Step 4: Simplify right side
    539,820.40x = 335,379,516,491.76
  5. Step 5: Solve for x
    x = 335,379,516,491.76/539,820.40
  6. Step 6: Final answer
    x = 621,279.81

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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.