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Finding the Fourth Proportional to 486,072, 729,432 and 186,799.68

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Solution

The fourth proportional to 486,072, 729,432 and 186,799.68 is: 280,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,072 : 729,432 = 186,799.68 : x
  2. Step 2: Convert to fraction form
    486,072/729,432 = 186,799.68/x
  3. Step 3: Cross multiply
    486,072x = 729,432 × 186,799.68
  4. Step 4: Simplify right side
    486,072x = 136,257,664,181.76
  5. Step 5: Solve for x
    x = 136,257,664,181.76/486,072
  6. Step 6: Final answer
    x = 280,324.03

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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.