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Finding the Fourth Proportional to 398,707.92, 550,230.22 and 217,429.77

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Solution

The fourth proportional to 398,707.92, 550,230.22 and 217,429.77 is: 300,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,707.92 : 550,230.22 = 217,429.77 : x
  2. Step 2: Convert to fraction form
    398,707.92/550,230.22 = 217,429.77/x
  3. Step 3: Cross multiply
    398,707.92x = 550,230.22 × 217,429.77
  4. Step 4: Simplify right side
    398,707.92x = 119,636,428,198.71
  5. Step 5: Solve for x
    x = 119,636,428,198.71/398,707.92
  6. Step 6: Final answer
    x = 300,060.33

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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.