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Finding the Fourth Proportional to 468,694.40, 646,810.25 and 287,506.31

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Solution

The fourth proportional to 468,694.40, 646,810.25 and 287,506.31 is: 396,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,694.40 : 646,810.25 = 287,506.31 : x
  2. Step 2: Convert to fraction form
    468,694.40/646,810.25 = 287,506.31/x
  3. Step 3: Cross multiply
    468,694.40x = 646,810.25 × 287,506.31
  4. Step 4: Simplify right side
    468,694.40x = 185,962,023,576.10
  5. Step 5: Solve for x
    x = 185,962,023,576.10/468,694.40
  6. Step 6: Final answer
    x = 396,766.05

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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.