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Finding the Fourth Proportional to 412,155.87, 621,513.15 and 406,535.28

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Solution

The fourth proportional to 412,155.87, 621,513.15 and 406,535.28 is: 613,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,155.87 : 621,513.15 = 406,535.28 : x
  2. Step 2: Convert to fraction form
    412,155.87/621,513.15 = 406,535.28/x
  3. Step 3: Cross multiply
    412,155.87x = 621,513.15 × 406,535.28
  4. Step 4: Simplify right side
    412,155.87x = 252,667,022,458.93
  5. Step 5: Solve for x
    x = 252,667,022,458.93/412,155.87
  6. Step 6: Final answer
    x = 613,037.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.