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Finding the Fourth Proportional to 307,715.56, 462,385.16 and 165,665.86

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Solution

The fourth proportional to 307,715.56, 462,385.16 and 165,665.86 is: 248,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,715.56 : 462,385.16 = 165,665.86 : x
  2. Step 2: Convert to fraction form
    307,715.56/462,385.16 = 165,665.86/x
  3. Step 3: Cross multiply
    307,715.56x = 462,385.16 × 165,665.86
  4. Step 4: Simplify right side
    307,715.56x = 76,601,433,819.59
  5. Step 5: Solve for x
    x = 76,601,433,819.59/307,715.56
  6. Step 6: Final answer
    x = 248,935.85

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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.