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Finding the Fourth Proportional to 289,366.30, 433,903.65 and 171,073.90

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Solution

The fourth proportional to 289,366.30, 433,903.65 and 171,073.90 is: 256,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,366.30 : 433,903.65 = 171,073.90 : x
  2. Step 2: Convert to fraction form
    289,366.30/433,903.65 = 171,073.90/x
  3. Step 3: Cross multiply
    289,366.30x = 433,903.65 × 171,073.90
  4. Step 4: Simplify right side
    289,366.30x = 74,229,589,629.74
  5. Step 5: Solve for x
    x = 74,229,589,629.74/289,366.30
  6. Step 6: Final answer
    x = 256,524.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.