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Finding the Fourth Proportional to 262,978.20, 394,904.70 and 144,734.40

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Solution

The fourth proportional to 262,978.20, 394,904.70 and 144,734.40 is: 217,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,978.20 : 394,904.70 = 144,734.40 : x
  2. Step 2: Convert to fraction form
    262,978.20/394,904.70 = 144,734.40/x
  3. Step 3: Cross multiply
    262,978.20x = 394,904.70 × 144,734.40
  4. Step 4: Simplify right side
    262,978.20x = 57,156,294,811.68
  5. Step 5: Solve for x
    x = 57,156,294,811.68/262,978.20
  6. Step 6: Final answer
    x = 217,342.33

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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.