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Finding the Fourth Proportional to 538,806.60, 809,376.30 and 518,977.80

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Solution

The fourth proportional to 538,806.60, 809,376.30 and 518,977.80 is: 779,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,806.60 : 809,376.30 = 518,977.80 : x
  2. Step 2: Convert to fraction form
    538,806.60/809,376.30 = 518,977.80/x
  3. Step 3: Cross multiply
    538,806.60x = 809,376.30 × 518,977.80
  4. Step 4: Simplify right side
    538,806.60x = 420,048,331,546.14
  5. Step 5: Solve for x
    x = 420,048,331,546.14/538,806.60
  6. Step 6: Final answer
    x = 779,590.17

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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.