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Finding the Fourth Proportional to 270,559.80, 405,905.76 and 190,753.56

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Solution

The fourth proportional to 270,559.80, 405,905.76 and 190,753.56 is: 286,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,559.80 : 405,905.76 = 190,753.56 : x
  2. Step 2: Convert to fraction form
    270,559.80/405,905.76 = 190,753.56/x
  3. Step 3: Cross multiply
    270,559.80x = 405,905.76 × 190,753.56
  4. Step 4: Simplify right side
    270,559.80x = 77,427,968,744.51
  5. Step 5: Solve for x
    x = 77,427,968,744.51/270,559.80
  6. Step 6: Final answer
    x = 286,176.91

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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.