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Finding the Fourth Proportional to 538,774.60, 809,328.30 and 518,945.80

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Solution

The fourth proportional to 538,774.60, 809,328.30 and 518,945.80 is: 779,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,774.60 : 809,328.30 = 518,945.80 : x
  2. Step 2: Convert to fraction form
    538,774.60/809,328.30 = 518,945.80/x
  3. Step 3: Cross multiply
    538,774.60x = 809,328.30 × 518,945.80
  4. Step 4: Simplify right side
    538,774.60x = 419,997,522,106.14
  5. Step 5: Solve for x
    x = 419,997,522,106.14/538,774.60
  6. Step 6: Final answer
    x = 779,542.17

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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.