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Finding the Fourth Proportional to 270,642.15, 405,695.52 and 128,237.31

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Solution

The fourth proportional to 270,642.15, 405,695.52 and 128,237.31 is: 192,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,642.15 : 405,695.52 = 128,237.31 : x
  2. Step 2: Convert to fraction form
    270,642.15/405,695.52 = 128,237.31/x
  3. Step 3: Cross multiply
    270,642.15x = 405,695.52 × 128,237.31
  4. Step 4: Simplify right side
    270,642.15x = 52,025,302,163.85
  5. Step 5: Solve for x
    x = 52,025,302,163.85/270,642.15
  6. Step 6: Final answer
    x = 192,229.12

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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.