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Finding the Fourth Proportional to 288,074.21, 397,568.79 and 159,035.81

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Solution

The fourth proportional to 288,074.21, 397,568.79 and 159,035.81 is: 219,483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,074.21 : 397,568.79 = 159,035.81 : x
  2. Step 2: Convert to fraction form
    288,074.21/397,568.79 = 159,035.81/x
  3. Step 3: Cross multiply
    288,074.21x = 397,568.79 × 159,035.81
  4. Step 4: Simplify right side
    288,074.21x = 63,227,672,560.53
  5. Step 5: Solve for x
    x = 63,227,672,560.53/288,074.21
  6. Step 6: Final answer
    x = 219,483.98

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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.