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Finding the Fourth Proportional to 419,416.40, 628,681.53 and 301,023.56

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Solution

The fourth proportional to 419,416.40, 628,681.53 and 301,023.56 is: 451,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,416.40 : 628,681.53 = 301,023.56 : x
  2. Step 2: Convert to fraction form
    419,416.40/628,681.53 = 301,023.56/x
  3. Step 3: Cross multiply
    419,416.40x = 628,681.53 × 301,023.56
  4. Step 4: Simplify right side
    419,416.40x = 189,247,952,266.85
  5. Step 5: Solve for x
    x = 189,247,952,266.85/419,416.40
  6. Step 6: Final answer
    x = 451,217.34

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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.