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Finding the Fourth Proportional to 509,651.03, 764,457.08 and 154,650.71

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Solution

The fourth proportional to 509,651.03, 764,457.08 and 154,650.71 is: 231,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,651.03 : 764,457.08 = 154,650.71 : x
  2. Step 2: Convert to fraction form
    509,651.03/764,457.08 = 154,650.71/x
  3. Step 3: Cross multiply
    509,651.03x = 764,457.08 × 154,650.71
  4. Step 4: Simplify right side
    509,651.03x = 118,223,825,590.99
  5. Step 5: Solve for x
    x = 118,223,825,590.99/509,651.03
  6. Step 6: Final answer
    x = 231,970.15

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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.