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Finding the Fourth Proportional to 452,551.50, 678,914.60 and 172,046.88

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Solution

The fourth proportional to 452,551.50, 678,914.60 and 172,046.88 is: 258,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,551.50 : 678,914.60 = 172,046.88 : x
  2. Step 2: Convert to fraction form
    452,551.50/678,914.60 = 172,046.88/x
  3. Step 3: Cross multiply
    452,551.50x = 678,914.60 × 172,046.88
  4. Step 4: Simplify right side
    452,551.50x = 116,805,137,856.21
  5. Step 5: Solve for x
    x = 116,805,137,856.21/452,551.50
  6. Step 6: Final answer
    x = 258,103.53

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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.