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Finding the Fourth Proportional to 484,309.94, 726,628.40 and 214,400.86

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Solution

The fourth proportional to 484,309.94, 726,628.40 and 214,400.86 is: 321,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,309.94 : 726,628.40 = 214,400.86 : x
  2. Step 2: Convert to fraction form
    484,309.94/726,628.40 = 214,400.86/x
  3. Step 3: Cross multiply
    484,309.94x = 726,628.40 × 214,400.86
  4. Step 4: Simplify right side
    484,309.94x = 155,789,749,155.28
  5. Step 5: Solve for x
    x = 155,789,749,155.28/484,309.94
  6. Step 6: Final answer
    x = 321,673.66

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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.