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Finding the Fourth Proportional to 399,032.19, 550,647.32 and 217,739.61

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Solution

The fourth proportional to 399,032.19, 550,647.32 and 217,739.61 is: 300,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,032.19 : 550,647.32 = 217,739.61 : x
  2. Step 2: Convert to fraction form
    399,032.19/550,647.32 = 217,739.61/x
  3. Step 3: Cross multiply
    399,032.19x = 550,647.32 × 217,739.61
  4. Step 4: Simplify right side
    399,032.19x = 119,897,731,615.65
  5. Step 5: Solve for x
    x = 119,897,731,615.65/399,032.19
  6. Step 6: Final answer
    x = 300,471.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.