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Finding the Fourth Proportional to 259,635.75, 389,307.53 and 178,677.87

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Solution

The fourth proportional to 259,635.75, 389,307.53 and 178,677.87 is: 267,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,635.75 : 389,307.53 = 178,677.87 : x
  2. Step 2: Convert to fraction form
    259,635.75/389,307.53 = 178,677.87/x
  3. Step 3: Cross multiply
    259,635.75x = 389,307.53 × 178,677.87
  4. Step 4: Simplify right side
    259,635.75x = 69,560,639,222.15
  5. Step 5: Solve for x
    x = 69,560,639,222.15/259,635.75
  6. Step 6: Final answer
    x = 267,916.26

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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.