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Finding the Fourth Proportional to 416,408.62, 574,643.77 and 225,421.87

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Solution

The fourth proportional to 416,408.62, 574,643.77 and 225,421.87 is: 311,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,408.62 : 574,643.77 = 225,421.87 : x
  2. Step 2: Convert to fraction form
    416,408.62/574,643.77 = 225,421.87/x
  3. Step 3: Cross multiply
    416,408.62x = 574,643.77 × 225,421.87
  4. Step 4: Simplify right side
    416,408.62x = 129,537,273,217.25
  5. Step 5: Solve for x
    x = 129,537,273,217.25/416,408.62
  6. Step 6: Final answer
    x = 311,082.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.