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Finding the Fourth Proportional to 288,085.71, 397,584.66 and 159,047.31

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Solution

The fourth proportional to 288,085.71, 397,584.66 and 159,047.31 is: 219,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,085.71 : 397,584.66 = 159,047.31 : x
  2. Step 2: Convert to fraction form
    288,085.71/397,584.66 = 159,047.31/x
  3. Step 3: Cross multiply
    288,085.71x = 397,584.66 × 159,047.31
  4. Step 4: Simplify right side
    288,085.71x = 63,234,770,670.26
  5. Step 5: Solve for x
    x = 63,234,770,670.26/288,085.71
  6. Step 6: Final answer
    x = 219,499.85

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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.