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Finding the Fourth Proportional to 288,348.72, 397,932.50 and 159,293.86

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Solution

The fourth proportional to 288,348.72, 397,932.50 and 159,293.86 is: 219,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,348.72 : 397,932.50 = 159,293.86 : x
  2. Step 2: Convert to fraction form
    288,348.72/397,932.50 = 159,293.86/x
  3. Step 3: Cross multiply
    288,348.72x = 397,932.50 × 159,293.86
  4. Step 4: Simplify right side
    288,348.72x = 63,388,203,944.45
  5. Step 5: Solve for x
    x = 63,388,203,944.45/288,348.72
  6. Step 6: Final answer
    x = 219,831.75

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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.