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Finding the Fourth Proportional to 305,568.24, 457,883.52 and 127,978.08

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Solution

The fourth proportional to 305,568.24, 457,883.52 and 127,978.08 is: 191,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,568.24 : 457,883.52 = 127,978.08 : x
  2. Step 2: Convert to fraction form
    305,568.24/457,883.52 = 127,978.08/x
  3. Step 3: Cross multiply
    305,568.24x = 457,883.52 × 127,978.08
  4. Step 4: Simplify right side
    305,568.24x = 58,599,053,753.24
  5. Step 5: Solve for x
    x = 58,599,053,753.24/305,568.24
  6. Step 6: Final answer
    x = 191,770.76

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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.