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Finding the Fourth Proportional to 288,057.26, 397,459.66 and 165,525.96

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Solution

The fourth proportional to 288,057.26, 397,459.66 and 165,525.96 is: 228,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,057.26 : 397,459.66 = 165,525.96 : x
  2. Step 2: Convert to fraction form
    288,057.26/397,459.66 = 165,525.96/x
  3. Step 3: Cross multiply
    288,057.26x = 397,459.66 × 165,525.96
  4. Step 4: Simplify right side
    288,057.26x = 65,789,891,782.77
  5. Step 5: Solve for x
    x = 65,789,891,782.77/288,057.26
  6. Step 6: Final answer
    x = 228,391.72

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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.