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Finding the Fourth Proportional to 283,395.40, 425,438.70 and 281,321.80

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Solution

The fourth proportional to 283,395.40, 425,438.70 and 281,321.80 is: 422,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,395.40 : 425,438.70 = 281,321.80 : x
  2. Step 2: Convert to fraction form
    283,395.40/425,438.70 = 281,321.80/x
  3. Step 3: Cross multiply
    283,395.40x = 425,438.70 × 281,321.80
  4. Step 4: Simplify right side
    283,395.40x = 119,685,180,873.66
  5. Step 5: Solve for x
    x = 119,685,180,873.66/283,395.40
  6. Step 6: Final answer
    x = 422,325.77

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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.