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Finding the Fourth Proportional to 283,205.72, 390,834.97 and 155,893.16

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Solution

The fourth proportional to 283,205.72, 390,834.97 and 155,893.16 is: 215,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,205.72 : 390,834.97 = 155,893.16 : x
  2. Step 2: Convert to fraction form
    283,205.72/390,834.97 = 155,893.16/x
  3. Step 3: Cross multiply
    283,205.72x = 390,834.97 × 155,893.16
  4. Step 4: Simplify right side
    283,205.72x = 60,928,496,167.90
  5. Step 5: Solve for x
    x = 60,928,496,167.90/283,205.72
  6. Step 6: Final answer
    x = 215,138.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.