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Finding the Fourth Proportional to 509,633.65, 764,455.09 and 154,647.67

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Solution

The fourth proportional to 509,633.65, 764,455.09 and 154,647.67 is: 231,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,633.65 : 764,455.09 = 154,647.67 : x
  2. Step 2: Convert to fraction form
    509,633.65/764,455.09 = 154,647.67/x
  3. Step 3: Cross multiply
    509,633.65x = 764,455.09 × 154,647.67
  4. Step 4: Simplify right side
    509,633.65x = 118,221,196,295.00
  5. Step 5: Solve for x
    x = 118,221,196,295.00/509,633.65
  6. Step 6: Final answer
    x = 231,972.90

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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.