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Finding the Fourth Proportional to 452,101.20, 678,265.20 and 199,429.80

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Solution

The fourth proportional to 452,101.20, 678,265.20 and 199,429.80 is: 299,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,101.20 : 678,265.20 = 199,429.80 : x
  2. Step 2: Convert to fraction form
    452,101.20/678,265.20 = 199,429.80/x
  3. Step 3: Cross multiply
    452,101.20x = 678,265.20 × 199,429.80
  4. Step 4: Simplify right side
    452,101.20x = 135,266,293,182.96
  5. Step 5: Solve for x
    x = 135,266,293,182.96/452,101.20
  6. Step 6: Final answer
    x = 299,194.72

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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.