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Finding the Fourth Proportional to 275,824, 380,642.16 and 153,327.88

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Solution

The fourth proportional to 275,824, 380,642.16 and 153,327.88 is: 211,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,824 : 380,642.16 = 153,327.88 : x
  2. Step 2: Convert to fraction form
    275,824/380,642.16 = 153,327.88/x
  3. Step 3: Cross multiply
    275,824x = 380,642.16 × 153,327.88
  4. Step 4: Simplify right side
    275,824x = 58,363,055,431.42
  5. Step 5: Solve for x
    x = 58,363,055,431.42/275,824
  6. Step 6: Final answer
    x = 211,595.28

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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.