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Finding the Fourth Proportional to 259,342.24, 388,311.90 and 134,420.80

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Solution

The fourth proportional to 259,342.24, 388,311.90 and 134,420.80 is: 201,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,342.24 : 388,311.90 = 134,420.80 : x
  2. Step 2: Convert to fraction form
    259,342.24/388,311.90 = 134,420.80/x
  3. Step 3: Cross multiply
    259,342.24x = 388,311.90 × 134,420.80
  4. Step 4: Simplify right side
    259,342.24x = 52,197,196,247.52
  5. Step 5: Solve for x
    x = 52,197,196,247.52/259,342.24
  6. Step 6: Final answer
    x = 201,267.62

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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.