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Finding the Fourth Proportional to 304,845.64, 457,268.51 and 127,255.78

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Solution

The fourth proportional to 304,845.64, 457,268.51 and 127,255.78 is: 190,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,845.64 : 457,268.51 = 127,255.78 : x
  2. Step 2: Convert to fraction form
    304,845.64/457,268.51 = 127,255.78/x
  3. Step 3: Cross multiply
    304,845.64x = 457,268.51 × 127,255.78
  4. Step 4: Simplify right side
    304,845.64x = 58,190,060,909.49
  5. Step 5: Solve for x
    x = 58,190,060,909.49/304,845.64
  6. Step 6: Final answer
    x = 190,883.69

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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.