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Finding the Fourth Proportional to 399,151.93, 598,992.33 and 219,362.91

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Solution

The fourth proportional to 399,151.93, 598,992.33 and 219,362.91 is: 329,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,151.93 : 598,992.33 = 219,362.91 : x
  2. Step 2: Convert to fraction form
    399,151.93/598,992.33 = 219,362.91/x
  3. Step 3: Cross multiply
    399,151.93x = 598,992.33 × 219,362.91
  4. Step 4: Simplify right side
    399,151.93x = 131,396,699,479.67
  5. Step 5: Solve for x
    x = 131,396,699,479.67/399,151.93
  6. Step 6: Final answer
    x = 329,189.69

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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.