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Finding the Fourth Proportional to 283,828, 425,742 and 115,439.94

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Solution

The fourth proportional to 283,828, 425,742 and 115,439.94 is: 173,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,828 : 425,742 = 115,439.94 : x
  2. Step 2: Convert to fraction form
    283,828/425,742 = 115,439.94/x
  3. Step 3: Cross multiply
    283,828x = 425,742 × 115,439.94
  4. Step 4: Simplify right side
    283,828x = 49,147,630,935.48
  5. Step 5: Solve for x
    x = 49,147,630,935.48/283,828
  6. Step 6: Final answer
    x = 173,159.91

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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.