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Finding the Fourth Proportional to 468,696.37, 646,865.37 and 287,376.25

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Solution

The fourth proportional to 468,696.37, 646,865.37 and 287,376.25 is: 396,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,696.37 : 646,865.37 = 287,376.25 : x
  2. Step 2: Convert to fraction form
    468,696.37/646,865.37 = 287,376.25/x
  3. Step 3: Cross multiply
    468,696.37x = 646,865.37 × 287,376.25
  4. Step 4: Simplify right side
    468,696.37x = 185,893,739,614.25
  5. Step 5: Solve for x
    x = 185,893,739,614.25/468,696.37
  6. Step 6: Final answer
    x = 396,618.69

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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.