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Finding the Fourth Proportional to 361,589.22, 542,389.47 and 136,889.34

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Solution

The fourth proportional to 361,589.22, 542,389.47 and 136,889.34 is: 205,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,589.22 : 542,389.47 = 136,889.34 : x
  2. Step 2: Convert to fraction form
    361,589.22/542,389.47 = 136,889.34/x
  3. Step 3: Cross multiply
    361,589.22x = 542,389.47 × 136,889.34
  4. Step 4: Simplify right side
    361,589.22x = 74,247,336,571.25
  5. Step 5: Solve for x
    x = 74,247,336,571.25/361,589.22
  6. Step 6: Final answer
    x = 205,336.15

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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.