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Finding the Fourth Proportional to 488,951.40, 733,859.10 and 289,021.80

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Solution

The fourth proportional to 488,951.40, 733,859.10 and 289,021.80 is: 433,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,951.40 : 733,859.10 = 289,021.80 : x
  2. Step 2: Convert to fraction form
    488,951.40/733,859.10 = 289,021.80/x
  3. Step 3: Cross multiply
    488,951.40x = 733,859.10 × 289,021.80
  4. Step 4: Simplify right side
    488,951.40x = 212,101,278,028.38
  5. Step 5: Solve for x
    x = 212,101,278,028.38/488,951.40
  6. Step 6: Final answer
    x = 433,788.06

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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.