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Finding the Fourth Proportional to 468,359.52, 646,351.78 and 287,036.44

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Solution

The fourth proportional to 468,359.52, 646,351.78 and 287,036.44 is: 396,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,359.52 : 646,351.78 = 287,036.44 : x
  2. Step 2: Convert to fraction form
    468,359.52/646,351.78 = 287,036.44/x
  3. Step 3: Cross multiply
    468,359.52x = 646,351.78 × 287,036.44
  4. Step 4: Simplify right side
    468,359.52x = 185,526,513,918.86
  5. Step 5: Solve for x
    x = 185,526,513,918.86/468,359.52
  6. Step 6: Final answer
    x = 396,119.87

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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.