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Finding the Fourth Proportional to 306,265.26, 459,361.38 and 81,642.54

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Solution

The fourth proportional to 306,265.26, 459,361.38 and 81,642.54 is: 122,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,265.26 : 459,361.38 = 81,642.54 : x
  2. Step 2: Convert to fraction form
    306,265.26/459,361.38 = 81,642.54/x
  3. Step 3: Cross multiply
    306,265.26x = 459,361.38 × 81,642.54
  4. Step 4: Simplify right side
    306,265.26x = 37,503,429,841.11
  5. Step 5: Solve for x
    x = 37,503,429,841.11/306,265.26
  6. Step 6: Final answer
    x = 122,454.08

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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.