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Finding the Fourth Proportional to 488,355.96, 731,221.50 and 309,896.76

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Solution

The fourth proportional to 488,355.96, 731,221.50 and 309,896.76 is: 464,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,355.96 : 731,221.50 = 309,896.76 : x
  2. Step 2: Convert to fraction form
    488,355.96/731,221.50 = 309,896.76/x
  3. Step 3: Cross multiply
    488,355.96x = 731,221.50 × 309,896.76
  4. Step 4: Simplify right side
    488,355.96x = 226,603,173,692.34
  5. Step 5: Solve for x
    x = 226,603,173,692.34/488,355.96
  6. Step 6: Final answer
    x = 464,012.30

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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.