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Finding the Fourth Proportional to 468,345.69, 646,332.71 and 287,022.60

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Solution

The fourth proportional to 468,345.69, 646,332.71 and 287,022.60 is: 396,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,345.69 : 646,332.71 = 287,022.60 : x
  2. Step 2: Convert to fraction form
    468,345.69/646,332.71 = 287,022.60/x
  3. Step 3: Cross multiply
    468,345.69x = 646,332.71 × 287,022.60
  4. Step 4: Simplify right side
    468,345.69x = 185,512,093,454.13
  5. Step 5: Solve for x
    x = 185,512,093,454.13/468,345.69
  6. Step 6: Final answer
    x = 396,100.78

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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.