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Finding the Fourth Proportional to 295,270.40, 441,739.20 and 256,260.80

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Solution

The fourth proportional to 295,270.40, 441,739.20 and 256,260.80 is: 383,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,270.40 : 441,739.20 = 256,260.80 : x
  2. Step 2: Convert to fraction form
    295,270.40/441,739.20 = 256,260.80/x
  3. Step 3: Cross multiply
    295,270.40x = 441,739.20 × 256,260.80
  4. Step 4: Simplify right side
    295,270.40x = 113,200,440,783.36
  5. Step 5: Solve for x
    x = 113,200,440,783.36/295,270.40
  6. Step 6: Final answer
    x = 383,378.90

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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.