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Finding the Fourth Proportional to 270,912.60, 406,370.25 and 111,075.84

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Solution

The fourth proportional to 270,912.60, 406,370.25 and 111,075.84 is: 166,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,912.60 : 406,370.25 = 111,075.84 : x
  2. Step 2: Convert to fraction form
    270,912.60/406,370.25 = 111,075.84/x
  3. Step 3: Cross multiply
    270,912.60x = 406,370.25 × 111,075.84
  4. Step 4: Simplify right side
    270,912.60x = 45,137,916,869.76
  5. Step 5: Solve for x
    x = 45,137,916,869.76/270,912.60
  6. Step 6: Final answer
    x = 166,614.31

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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.