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Finding the Fourth Proportional to 275,904.54, 380,755.85 and 155,056.84

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Solution

The fourth proportional to 275,904.54, 380,755.85 and 155,056.84 is: 213,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,904.54 : 380,755.85 = 155,056.84 : x
  2. Step 2: Convert to fraction form
    275,904.54/380,755.85 = 155,056.84/x
  3. Step 3: Cross multiply
    275,904.54x = 380,755.85 × 155,056.84
  4. Step 4: Simplify right side
    275,904.54x = 59,038,798,912.51
  5. Step 5: Solve for x
    x = 59,038,798,912.51/275,904.54
  6. Step 6: Final answer
    x = 213,982.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.