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Finding the Fourth Proportional to 283,827, 425,740.50 and 115,438.94

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Solution

The fourth proportional to 283,827, 425,740.50 and 115,438.94 is: 173,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,827 : 425,740.50 = 115,438.94 : x
  2. Step 2: Convert to fraction form
    283,827/425,740.50 = 115,438.94/x
  3. Step 3: Cross multiply
    283,827x = 425,740.50 × 115,438.94
  4. Step 4: Simplify right side
    283,827x = 49,147,029,906.37
  5. Step 5: Solve for x
    x = 49,147,029,906.37/283,827
  6. Step 6: Final answer
    x = 173,158.40

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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.