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Finding the Fourth Proportional to 412,385.82, 618,384.60 and 159,784.62

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Solution

The fourth proportional to 412,385.82, 618,384.60 and 159,784.62 is: 239,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,385.82 : 618,384.60 = 159,784.62 : x
  2. Step 2: Convert to fraction form
    412,385.82/618,384.60 = 159,784.62/x
  3. Step 3: Cross multiply
    412,385.82x = 618,384.60 × 159,784.62
  4. Step 4: Simplify right side
    412,385.82x = 98,808,348,324.85
  5. Step 5: Solve for x
    x = 98,808,348,324.85/412,385.82
  6. Step 6: Final answer
    x = 239,601.71

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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.