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Finding the Fourth Proportional to 295,308.40, 441,796.20 and 256,298.80

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Solution

The fourth proportional to 295,308.40, 441,796.20 and 256,298.80 is: 383,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,308.40 : 441,796.20 = 256,298.80 : x
  2. Step 2: Convert to fraction form
    295,308.40/441,796.20 = 256,298.80/x
  3. Step 3: Cross multiply
    295,308.40x = 441,796.20 × 256,298.80
  4. Step 4: Simplify right side
    295,308.40x = 113,231,835,904.56
  5. Step 5: Solve for x
    x = 113,231,835,904.56/295,308.40
  6. Step 6: Final answer
    x = 383,435.88

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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.