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Finding the Fourth Proportional to 452,138.94, 678,005.20 and 325,247.38

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Solution

The fourth proportional to 452,138.94, 678,005.20 and 325,247.38 is: 487,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,138.94 : 678,005.20 = 325,247.38 : x
  2. Step 2: Convert to fraction form
    452,138.94/678,005.20 = 325,247.38/x
  3. Step 3: Cross multiply
    452,138.94x = 678,005.20 × 325,247.38
  4. Step 4: Simplify right side
    452,138.94x = 220,519,414,926.38
  5. Step 5: Solve for x
    x = 220,519,414,926.38/452,138.94
  6. Step 6: Final answer
    x = 487,724.89

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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.