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Finding the Fourth Proportional to 289,400.30, 433,954.65 and 171,107.90

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Solution

The fourth proportional to 289,400.30, 433,954.65 and 171,107.90 is: 256,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,400.30 : 433,954.65 = 171,107.90 : x
  2. Step 2: Convert to fraction form
    289,400.30/433,954.65 = 171,107.90/x
  3. Step 3: Cross multiply
    289,400.30x = 433,954.65 × 171,107.90
  4. Step 4: Simplify right side
    289,400.30x = 74,253,068,856.74
  5. Step 5: Solve for x
    x = 74,253,068,856.74/289,400.30
  6. Step 6: Final answer
    x = 256,575.65

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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.