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Finding the Fourth Proportional to 509,639.85, 764,464.37 and 154,653.86

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Solution

The fourth proportional to 509,639.85, 764,464.37 and 154,653.86 is: 231,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,639.85 : 764,464.37 = 154,653.86 : x
  2. Step 2: Convert to fraction form
    509,639.85/764,464.37 = 154,653.86/x
  3. Step 3: Cross multiply
    509,639.85x = 764,464.37 × 154,653.86
  4. Step 4: Simplify right side
    509,639.85x = 118,227,366,790.86
  5. Step 5: Solve for x
    x = 118,227,366,790.86/509,639.85
  6. Step 6: Final answer
    x = 231,982.19

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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.