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Finding the Fourth Proportional to 452,241.60, 678,751.20 and 199,910.40

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Solution

The fourth proportional to 452,241.60, 678,751.20 and 199,910.40 is: 300,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,241.60 : 678,751.20 = 199,910.40 : x
  2. Step 2: Convert to fraction form
    452,241.60/678,751.20 = 199,910.40/x
  3. Step 3: Cross multiply
    452,241.60x = 678,751.20 × 199,910.40
  4. Step 4: Simplify right side
    452,241.60x = 135,689,423,892.48
  5. Step 5: Solve for x
    x = 135,689,423,892.48/452,241.60
  6. Step 6: Final answer
    x = 300,037.47

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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.