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Finding the Fourth Proportional to 411,720.21, 617,469.21 and 145,445.67

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Solution

The fourth proportional to 411,720.21, 617,469.21 and 145,445.67 is: 218,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,720.21 : 617,469.21 = 145,445.67 : x
  2. Step 2: Convert to fraction form
    411,720.21/617,469.21 = 145,445.67/x
  3. Step 3: Cross multiply
    411,720.21x = 617,469.21 × 145,445.67
  4. Step 4: Simplify right side
    411,720.21x = 89,808,222,952.82
  5. Step 5: Solve for x
    x = 89,808,222,952.82/411,720.21
  6. Step 6: Final answer
    x = 218,129.26

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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.