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Finding the Fourth Proportional to 288,004.62, 397,455.92 and 157,189.42

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Solution

The fourth proportional to 288,004.62, 397,455.92 and 157,189.42 is: 216,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004.62 : 397,455.92 = 157,189.42 : x
  2. Step 2: Convert to fraction form
    288,004.62/397,455.92 = 157,189.42/x
  3. Step 3: Cross multiply
    288,004.62x = 397,455.92 × 157,189.42
  4. Step 4: Simplify right side
    288,004.62x = 62,475,865,540.37
  5. Step 5: Solve for x
    x = 62,475,865,540.37/288,004.62
  6. Step 6: Final answer
    x = 216,926.61

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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.