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Finding the Fourth Proportional to 283,020.72, 424,546.32 and 72,660.48

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Solution

The fourth proportional to 283,020.72, 424,546.32 and 72,660.48 is: 108,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,020.72 : 424,546.32 = 72,660.48 : x
  2. Step 2: Convert to fraction form
    283,020.72/424,546.32 = 72,660.48/x
  3. Step 3: Cross multiply
    283,020.72x = 424,546.32 × 72,660.48
  4. Step 4: Simplify right side
    283,020.72x = 30,847,739,393.43
  5. Step 5: Solve for x
    x = 30,847,739,393.43/283,020.72
  6. Step 6: Final answer
    x = 108,994.63

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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.