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Finding the Fourth Proportional to 414,331.51, 620,500.35 and 280,806.65

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Solution

The fourth proportional to 414,331.51, 620,500.35 and 280,806.65 is: 420,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,331.51 : 620,500.35 = 280,806.65 : x
  2. Step 2: Convert to fraction form
    414,331.51/620,500.35 = 280,806.65/x
  3. Step 3: Cross multiply
    414,331.51x = 620,500.35 × 280,806.65
  4. Step 4: Simplify right side
    414,331.51x = 174,240,624,607.33
  5. Step 5: Solve for x
    x = 174,240,624,607.33/414,331.51
  6. Step 6: Final answer
    x = 420,534.33

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1.5x scale

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.