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Finding the Fourth Proportional to 550,490.90, 825,231.51 and 213,445.04

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Solution

The fourth proportional to 550,490.90, 825,231.51 and 213,445.04 is: 319,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,490.90 : 825,231.51 = 213,445.04 : x
  2. Step 2: Convert to fraction form
    550,490.90/825,231.51 = 213,445.04/x
  3. Step 3: Cross multiply
    550,490.90x = 825,231.51 × 213,445.04
  4. Step 4: Simplify right side
    550,490.90x = 176,141,568,535.05
  5. Step 5: Solve for x
    x = 176,141,568,535.05/550,490.90
  6. Step 6: Final answer
    x = 319,971.81

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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.