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Finding the Fourth Proportional to 486,511.72, 729,723 and 344,964.22

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Solution

The fourth proportional to 486,511.72, 729,723 and 344,964.22 is: 517,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,511.72 : 729,723 = 344,964.22 : x
  2. Step 2: Convert to fraction form
    486,511.72/729,723 = 344,964.22/x
  3. Step 3: Cross multiply
    486,511.72x = 729,723 × 344,964.22
  4. Step 4: Simplify right side
    486,511.72x = 251,728,325,511.06
  5. Step 5: Solve for x
    x = 251,728,325,511.06/486,511.72
  6. Step 6: Final answer
    x = 517,414.72

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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.