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Finding the Fourth Proportional to 394,978.31, 545,056.58 and 225,267.11

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Solution

The fourth proportional to 394,978.31, 545,056.58 and 225,267.11 is: 310,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,978.31 : 545,056.58 = 225,267.11 : x
  2. Step 2: Convert to fraction form
    394,978.31/545,056.58 = 225,267.11/x
  3. Step 3: Cross multiply
    394,978.31x = 545,056.58 × 225,267.11
  4. Step 4: Simplify right side
    394,978.31x = 122,783,316,711.47
  5. Step 5: Solve for x
    x = 122,783,316,711.47/394,978.31
  6. Step 6: Final answer
    x = 310,860.91

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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.