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Finding the Fourth Proportional to 509,900.92, 764,938.52 and 210,217.68

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Solution

The fourth proportional to 509,900.92, 764,938.52 and 210,217.68 is: 315,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,900.92 : 764,938.52 = 210,217.68 : x
  2. Step 2: Convert to fraction form
    509,900.92/764,938.52 = 210,217.68/x
  3. Step 3: Cross multiply
    509,900.92x = 764,938.52 × 210,217.68
  4. Step 4: Simplify right side
    509,900.92x = 160,803,596,141.25
  5. Step 5: Solve for x
    x = 160,803,596,141.25/509,900.92
  6. Step 6: Final answer
    x = 315,362.44

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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.