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Finding the Fourth Proportional to 283,438.60, 425,209.10 and 142,843.40

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Solution

The fourth proportional to 283,438.60, 425,209.10 and 142,843.40 is: 214,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,438.60 : 425,209.10 = 142,843.40 : x
  2. Step 2: Convert to fraction form
    283,438.60/425,209.10 = 142,843.40/x
  3. Step 3: Cross multiply
    283,438.60x = 425,209.10 × 142,843.40
  4. Step 4: Simplify right side
    283,438.60x = 60,738,313,554.94
  5. Step 5: Solve for x
    x = 60,738,313,554.94/283,438.60
  6. Step 6: Final answer
    x = 214,290.90

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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.