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Finding the Fourth Proportional to 517,790.88, 775,636.56 and 267,948

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Solution

The fourth proportional to 517,790.88, 775,636.56 and 267,948 is: 401,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,790.88 : 775,636.56 = 267,948 : x
  2. Step 2: Convert to fraction form
    517,790.88/775,636.56 = 267,948/x
  3. Step 3: Cross multiply
    517,790.88x = 775,636.56 × 267,948
  4. Step 4: Simplify right side
    517,790.88x = 207,830,264,978.88
  5. Step 5: Solve for x
    x = 207,830,264,978.88/517,790.88
  6. Step 6: Final answer
    x = 401,378.77

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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.