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Finding the Fourth Proportional to 664,861.70, 997,616.55 and 309,692.90

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Solution

The fourth proportional to 664,861.70, 997,616.55 and 309,692.90 is: 464,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,861.70 : 997,616.55 = 309,692.90 : x
  2. Step 2: Convert to fraction form
    664,861.70/997,616.55 = 309,692.90/x
  3. Step 3: Cross multiply
    664,861.70x = 997,616.55 × 309,692.90
  4. Step 4: Simplify right side
    664,861.70x = 308,954,762,457.50
  5. Step 5: Solve for x
    x = 308,954,762,457.50/664,861.70
  6. Step 6: Final answer
    x = 464,690.27

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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.