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Finding the Fourth Proportional to 509,585.68, 764,381.86 and 149,755.23

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Solution

The fourth proportional to 509,585.68, 764,381.86 and 149,755.23 is: 224,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,585.68 : 764,381.86 = 149,755.23 : x
  2. Step 2: Convert to fraction form
    509,585.68/764,381.86 = 149,755.23/x
  3. Step 3: Cross multiply
    509,585.68x = 764,381.86 × 149,755.23
  4. Step 4: Simplify right side
    509,585.68x = 114,470,181,720.11
  5. Step 5: Solve for x
    x = 114,470,181,720.11/509,585.68
  6. Step 6: Final answer
    x = 224,633.83

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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.