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Finding the Fourth Proportional to 468,351.81, 646,337.30 and 287,163.64

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Solution

The fourth proportional to 468,351.81, 646,337.30 and 287,163.64 is: 396,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,351.81 : 646,337.30 = 287,163.64 : x
  2. Step 2: Convert to fraction form
    468,351.81/646,337.30 = 287,163.64/x
  3. Step 3: Cross multiply
    468,351.81x = 646,337.30 × 287,163.64
  4. Step 4: Simplify right side
    468,351.81x = 185,604,572,453.68
  5. Step 5: Solve for x
    x = 185,604,572,453.68/468,351.81
  6. Step 6: Final answer
    x = 396,293.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.