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Finding the Fourth Proportional to 414,329.01, 620,496.60 and 280,804.15

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Solution

The fourth proportional to 414,329.01, 620,496.60 and 280,804.15 is: 420,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,329.01 : 620,496.60 = 280,804.15 : x
  2. Step 2: Convert to fraction form
    414,329.01/620,496.60 = 280,804.15/x
  3. Step 3: Cross multiply
    414,329.01x = 620,496.60 × 280,804.15
  4. Step 4: Simplify right side
    414,329.01x = 174,238,020,340.89
  5. Step 5: Solve for x
    x = 174,238,020,340.89/414,329.01
  6. Step 6: Final answer
    x = 420,530.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.