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Finding the Fourth Proportional to 262,928.80, 394,490.40 and 105,270.40

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Solution

The fourth proportional to 262,928.80, 394,490.40 and 105,270.40 is: 157,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,928.80 : 394,490.40 = 105,270.40 : x
  2. Step 2: Convert to fraction form
    262,928.80/394,490.40 = 105,270.40/x
  3. Step 3: Cross multiply
    262,928.80x = 394,490.40 × 105,270.40
  4. Step 4: Simplify right side
    262,928.80x = 41,528,162,204.16
  5. Step 5: Solve for x
    x = 41,528,162,204.16/262,928.80
  6. Step 6: Final answer
    x = 157,944.52

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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.