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Finding the Fourth Proportional to 452,016, 678,004.56 and 136,463.52

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Solution

The fourth proportional to 452,016, 678,004.56 and 136,463.52 is: 204,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,016 : 678,004.56 = 136,463.52 : x
  2. Step 2: Convert to fraction form
    452,016/678,004.56 = 136,463.52/x
  3. Step 3: Cross multiply
    452,016x = 678,004.56 × 136,463.52
  4. Step 4: Simplify right side
    452,016x = 92,522,888,833.65
  5. Step 5: Solve for x
    x = 92,522,888,833.65/452,016
  6. Step 6: Final answer
    x = 204,689.41

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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.