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Finding the Fourth Proportional to 539,858.84, 809,705.26 and 180,036

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Solution

The fourth proportional to 539,858.84, 809,705.26 and 180,036 is: 270,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,858.84 : 809,705.26 = 180,036 : x
  2. Step 2: Convert to fraction form
    539,858.84/809,705.26 = 180,036/x
  3. Step 3: Cross multiply
    539,858.84x = 809,705.26 × 180,036
  4. Step 4: Simplify right side
    539,858.84x = 145,776,096,189.36
  5. Step 5: Solve for x
    x = 145,776,096,189.36/539,858.84
  6. Step 6: Final answer
    x = 270,026.32

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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.