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Finding the Fourth Proportional to 488,366.96, 731,237.98 and 309,907.76

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Solution

The fourth proportional to 488,366.96, 731,237.98 and 309,907.76 is: 464,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,366.96 : 731,237.98 = 309,907.76 : x
  2. Step 2: Convert to fraction form
    488,366.96/731,237.98 = 309,907.76/x
  3. Step 3: Cross multiply
    488,366.96x = 731,237.98 × 309,907.76
  4. Step 4: Simplify right side
    488,366.96x = 226,616,324,408.73
  5. Step 5: Solve for x
    x = 226,616,324,408.73/488,366.96
  6. Step 6: Final answer
    x = 464,028.78

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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.