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Finding the Fourth Proportional to 288,064.21, 397,469.26 and 165,532.90

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Solution

The fourth proportional to 288,064.21, 397,469.26 and 165,532.90 is: 228,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,064.21 : 397,469.26 = 165,532.90 : x
  2. Step 2: Convert to fraction form
    288,064.21/397,469.26 = 165,532.90/x
  3. Step 3: Cross multiply
    288,064.21x = 397,469.26 × 165,532.90
  4. Step 4: Simplify right side
    288,064.21x = 65,794,239,268.65
  5. Step 5: Solve for x
    x = 65,794,239,268.65/288,064.21
  6. Step 6: Final answer
    x = 228,401.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.