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Finding the Fourth Proportional to 288,255.48, 397,795.74 and 159,193.74

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Solution

The fourth proportional to 288,255.48, 397,795.74 and 159,193.74 is: 219,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,255.48 : 397,795.74 = 159,193.74 : x
  2. Step 2: Convert to fraction form
    288,255.48/397,795.74 = 159,193.74/x
  3. Step 3: Cross multiply
    288,255.48x = 397,795.74 × 159,193.74
  4. Step 4: Simplify right side
    288,255.48x = 63,326,591,606.67
  5. Step 5: Solve for x
    x = 63,326,591,606.67/288,255.48
  6. Step 6: Final answer
    x = 219,689.12

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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.