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Finding the Fourth Proportional to 375,736.46, 518,515.56 and 205,971.80

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Solution

The fourth proportional to 375,736.46, 518,515.56 and 205,971.80 is: 284,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,736.46 : 518,515.56 = 205,971.80 : x
  2. Step 2: Convert to fraction form
    375,736.46/518,515.56 = 205,971.80/x
  3. Step 3: Cross multiply
    375,736.46x = 518,515.56 × 205,971.80
  4. Step 4: Simplify right side
    375,736.46x = 106,799,580,628.63
  5. Step 5: Solve for x
    x = 106,799,580,628.63/375,736.46
  6. Step 6: Final answer
    x = 284,240.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.