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Finding the Fourth Proportional to 419,201.70, 627,567.03 and 276,785.70

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Solution

The fourth proportional to 419,201.70, 627,567.03 and 276,785.70 is: 414,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,201.70 : 627,567.03 = 276,785.70 : x
  2. Step 2: Convert to fraction form
    419,201.70/627,567.03 = 276,785.70/x
  3. Step 3: Cross multiply
    419,201.70x = 627,567.03 × 276,785.70
  4. Step 4: Simplify right side
    419,201.70x = 173,701,579,695.47
  5. Step 5: Solve for x
    x = 173,701,579,695.47/419,201.70
  6. Step 6: Final answer
    x = 414,362.77

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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.