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Finding the Fourth Proportional to 275,495.10, 380,221.61 and 153,015

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Solution

The fourth proportional to 275,495.10, 380,221.61 and 153,015 is: 211,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,495.10 : 380,221.61 = 153,015 : x
  2. Step 2: Convert to fraction form
    275,495.10/380,221.61 = 153,015/x
  3. Step 3: Cross multiply
    275,495.10x = 380,221.61 × 153,015
  4. Step 4: Simplify right side
    275,495.10x = 58,179,608,889.08
  5. Step 5: Solve for x
    x = 58,179,608,889.08/275,495.10
  6. Step 6: Final answer
    x = 211,182.01

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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.