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Finding the Fourth Proportional to 270,058.56, 405,175.32 and 129,828.12

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Solution

The fourth proportional to 270,058.56, 405,175.32 and 129,828.12 is: 194,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,058.56 : 405,175.32 = 129,828.12 : x
  2. Step 2: Convert to fraction form
    270,058.56/405,175.32 = 129,828.12/x
  3. Step 3: Cross multiply
    270,058.56x = 405,175.32 × 129,828.12
  4. Step 4: Simplify right side
    270,058.56x = 52,603,150,066.00
  5. Step 5: Solve for x
    x = 52,603,150,066.00/270,058.56
  6. Step 6: Final answer
    x = 194,784.24

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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.