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Finding the Fourth Proportional to 452,102.70, 678,267.45 and 199,431.30

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Solution

The fourth proportional to 452,102.70, 678,267.45 and 199,431.30 is: 299,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,102.70 : 678,267.45 = 199,431.30 : x
  2. Step 2: Convert to fraction form
    452,102.70/678,267.45 = 199,431.30/x
  3. Step 3: Cross multiply
    452,102.70x = 678,267.45 × 199,431.30
  4. Step 4: Simplify right side
    452,102.70x = 135,267,759,301.19
  5. Step 5: Solve for x
    x = 135,267,759,301.19/452,102.70
  6. Step 6: Final answer
    x = 299,196.97

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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.