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Finding the Fourth Proportional to 452,452, 678,211.42 and 203,308.96

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Solution

The fourth proportional to 452,452, 678,211.42 and 203,308.96 is: 304,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,452 : 678,211.42 = 203,308.96 : x
  2. Step 2: Convert to fraction form
    452,452/678,211.42 = 203,308.96/x
  3. Step 3: Cross multiply
    452,452x = 678,211.42 × 203,308.96
  4. Step 4: Simplify right side
    452,452x = 137,886,458,460.32
  5. Step 5: Solve for x
    x = 137,886,458,460.32/452,452
  6. Step 6: Final answer
    x = 304,753.78

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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.