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Finding the Fourth Proportional to 486,165.30, 729,155.61 and 205,879.38

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Solution

The fourth proportional to 486,165.30, 729,155.61 and 205,879.38 is: 308,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,165.30 : 729,155.61 = 205,879.38 : x
  2. Step 2: Convert to fraction form
    486,165.30/729,155.61 = 205,879.38/x
  3. Step 3: Cross multiply
    486,165.30x = 729,155.61 × 205,879.38
  4. Step 4: Simplify right side
    486,165.30x = 150,118,104,910.32
  5. Step 5: Solve for x
    x = 150,118,104,910.32/486,165.30
  6. Step 6: Final answer
    x = 308,779.97

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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.