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Finding the Fourth Proportional to 253,817.40, 380,693.04 and 120,782.28

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Solution

The fourth proportional to 253,817.40, 380,693.04 and 120,782.28 is: 181,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,817.40 : 380,693.04 = 120,782.28 : x
  2. Step 2: Convert to fraction form
    253,817.40/380,693.04 = 120,782.28/x
  3. Step 3: Cross multiply
    253,817.40x = 380,693.04 × 120,782.28
  4. Step 4: Simplify right side
    253,817.40x = 45,980,973,351.33
  5. Step 5: Solve for x
    x = 45,980,973,351.33/253,817.40
  6. Step 6: Final answer
    x = 181,157.69

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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.