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Finding the Fourth Proportional to 412,457.85, 617,948.66 and 353,408.85

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Solution

The fourth proportional to 412,457.85, 617,948.66 and 353,408.85 is: 529,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,457.85 : 617,948.66 = 353,408.85 : x
  2. Step 2: Convert to fraction form
    412,457.85/617,948.66 = 353,408.85/x
  3. Step 3: Cross multiply
    412,457.85x = 617,948.66 × 353,408.85
  4. Step 4: Simplify right side
    412,457.85x = 218,388,526,173.16
  5. Step 5: Solve for x
    x = 218,388,526,173.16/412,457.85
  6. Step 6: Final answer
    x = 529,480.83

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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.