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Finding the Fourth Proportional to 468,348.75, 646,336.93 and 287,025.64

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Solution

The fourth proportional to 468,348.75, 646,336.93 and 287,025.64 is: 396,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,348.75 : 646,336.93 = 287,025.64 : x
  2. Step 2: Convert to fraction form
    468,348.75/646,336.93 = 287,025.64/x
  3. Step 3: Cross multiply
    468,348.75x = 646,336.93 × 287,025.64
  4. Step 4: Simplify right side
    468,348.75x = 185,515,270,988.89
  5. Step 5: Solve for x
    x = 185,515,270,988.89/468,348.75
  6. Step 6: Final answer
    x = 396,104.98

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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.