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Finding the Fourth Proportional to 509,354.10, 764,029.29 and 154,367.55

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Solution

The fourth proportional to 509,354.10, 764,029.29 and 154,367.55 is: 231,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,354.10 : 764,029.29 = 154,367.55 : x
  2. Step 2: Convert to fraction form
    509,354.10/764,029.29 = 154,367.55/x
  3. Step 3: Cross multiply
    509,354.10x = 764,029.29 × 154,367.55
  4. Step 4: Simplify right side
    509,354.10x = 117,941,329,625.54
  5. Step 5: Solve for x
    x = 117,941,329,625.54/509,354.10
  6. Step 6: Final answer
    x = 231,550.76

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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.