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Finding the Fourth Proportional to 258,900.64, 388,221.08 and 150,865

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Solution

The fourth proportional to 258,900.64, 388,221.08 and 150,865 is: 226,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,900.64 : 388,221.08 = 150,865 : x
  2. Step 2: Convert to fraction form
    258,900.64/388,221.08 = 150,865/x
  3. Step 3: Cross multiply
    258,900.64x = 388,221.08 × 150,865
  4. Step 4: Simplify right side
    258,900.64x = 58,568,973,234.20
  5. Step 5: Solve for x
    x = 58,568,973,234.20/258,900.64
  6. Step 6: Final answer
    x = 226,221.82

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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.