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Finding the Fourth Proportional to 253,779.47, 380,635.79 and 120,744.26

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Solution

The fourth proportional to 253,779.47, 380,635.79 and 120,744.26 is: 181,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,779.47 : 380,635.79 = 120,744.26 : x
  2. Step 2: Convert to fraction form
    253,779.47/380,635.79 = 120,744.26/x
  3. Step 3: Cross multiply
    253,779.47x = 380,635.79 × 120,744.26
  4. Step 4: Simplify right side
    253,779.47x = 45,959,586,793.07
  5. Step 5: Solve for x
    x = 45,959,586,793.07/253,779.47
  6. Step 6: Final answer
    x = 181,100.49

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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.