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Finding the Fourth Proportional to 457,067.78, 685,711.02 and 190,680.24

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Solution

The fourth proportional to 457,067.78, 685,711.02 and 190,680.24 is: 286,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,067.78 : 685,711.02 = 190,680.24 : x
  2. Step 2: Convert to fraction form
    457,067.78/685,711.02 = 190,680.24/x
  3. Step 3: Cross multiply
    457,067.78x = 685,711.02 × 190,680.24
  4. Step 4: Simplify right side
    457,067.78x = 130,751,541,864.25
  5. Step 5: Solve for x
    x = 130,751,541,864.25/457,067.78
  6. Step 6: Final answer
    x = 286,065.98

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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.