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Finding the Fourth Proportional to 382,142.76, 573,215.51 and 115,905.57

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Solution

The fourth proportional to 382,142.76, 573,215.51 and 115,905.57 is: 173,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,142.76 : 573,215.51 = 115,905.57 : x
  2. Step 2: Convert to fraction form
    382,142.76/573,215.51 = 115,905.57/x
  3. Step 3: Cross multiply
    382,142.76x = 573,215.51 × 115,905.57
  4. Step 4: Simplify right side
    382,142.76x = 66,438,870,419.39
  5. Step 5: Solve for x
    x = 66,438,870,419.39/382,142.76
  6. Step 6: Final answer
    x = 173,858.77

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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.