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Finding the Fourth Proportional to 498,542.97, 688,039.07 and 297,338.97

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Solution

The fourth proportional to 498,542.97, 688,039.07 and 297,338.97 is: 410,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,542.97 : 688,039.07 = 297,338.97 : x
  2. Step 2: Convert to fraction form
    498,542.97/688,039.07 = 297,338.97/x
  3. Step 3: Cross multiply
    498,542.97x = 688,039.07 × 297,338.97
  4. Step 4: Simplify right side
    498,542.97x = 204,580,826,906.86
  5. Step 5: Solve for x
    x = 204,580,826,906.86/498,542.97
  6. Step 6: Final answer
    x = 410,357.46

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1.5x scale

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.