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Finding the Fourth Proportional to 468,351.23, 646,340.35 and 287,028.12

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Solution

The fourth proportional to 468,351.23, 646,340.35 and 287,028.12 is: 396,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,351.23 : 646,340.35 = 287,028.12 : x
  2. Step 2: Convert to fraction form
    468,351.23/646,340.35 = 287,028.12/x
  3. Step 3: Cross multiply
    468,351.23x = 646,340.35 × 287,028.12
  4. Step 4: Simplify right side
    468,351.23x = 185,517,855,540.64
  5. Step 5: Solve for x
    x = 185,517,855,540.64/468,351.23
  6. Step 6: Final answer
    x = 396,108.40

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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.