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Finding the Fourth Proportional to 378,406.66, 522,292.17 and 227,474.50

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Solution

The fourth proportional to 378,406.66, 522,292.17 and 227,474.50 is: 313,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,406.66 : 522,292.17 = 227,474.50 : x
  2. Step 2: Convert to fraction form
    378,406.66/522,292.17 = 227,474.50/x
  3. Step 3: Cross multiply
    378,406.66x = 522,292.17 × 227,474.50
  4. Step 4: Simplify right side
    378,406.66x = 118,808,150,224.67
  5. Step 5: Solve for x
    x = 118,808,150,224.67/378,406.66
  6. Step 6: Final answer
    x = 313,969.50

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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.