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Finding the Fourth Proportional to 283,355.82, 424,933.68 and 83,622.78

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Solution

The fourth proportional to 283,355.82, 424,933.68 and 83,622.78 is: 125,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,355.82 : 424,933.68 = 83,622.78 : x
  2. Step 2: Convert to fraction form
    283,355.82/424,933.68 = 83,622.78/x
  3. Step 3: Cross multiply
    283,355.82x = 424,933.68 × 83,622.78
  4. Step 4: Simplify right side
    283,355.82x = 35,534,135,637.23
  5. Step 5: Solve for x
    x = 35,534,135,637.23/283,355.82
  6. Step 6: Final answer
    x = 125,404.64

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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.