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Finding the Fourth Proportional to 254,152.28, 380,980.55 and 120,996.78

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Solution

The fourth proportional to 254,152.28, 380,980.55 and 120,996.78 is: 181,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,152.28 : 380,980.55 = 120,996.78 : x
  2. Step 2: Convert to fraction form
    254,152.28/380,980.55 = 120,996.78/x
  3. Step 3: Cross multiply
    254,152.28x = 380,980.55 × 120,996.78
  4. Step 4: Simplify right side
    254,152.28x = 46,097,419,792.63
  5. Step 5: Solve for x
    x = 46,097,419,792.63/254,152.28
  6. Step 6: Final answer
    x = 181,377.16

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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.