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Finding the Fourth Proportional to 288,073.31, 397,563.80 and 159,037.43

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Solution

The fourth proportional to 288,073.31, 397,563.80 and 159,037.43 is: 219,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,073.31 : 397,563.80 = 159,037.43 : x
  2. Step 2: Convert to fraction form
    288,073.31/397,563.80 = 159,037.43/x
  3. Step 3: Cross multiply
    288,073.31x = 397,563.80 × 159,037.43
  4. Step 4: Simplify right side
    288,073.31x = 63,227,522,230.03
  5. Step 5: Solve for x
    x = 63,227,522,230.03/288,073.31
  6. Step 6: Final answer
    x = 219,484.14

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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.