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Finding the Fourth Proportional to 414,330.51, 620,498.85 and 280,805.65

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Solution

The fourth proportional to 414,330.51, 620,498.85 and 280,805.65 is: 420,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,330.51 : 620,498.85 = 280,805.65 : x
  2. Step 2: Convert to fraction form
    414,330.51/620,498.85 = 280,805.65/x
  3. Step 3: Cross multiply
    414,330.51x = 620,498.85 × 280,805.65
  4. Step 4: Simplify right side
    414,330.51x = 174,239,582,898.50
  5. Step 5: Solve for x
    x = 174,239,582,898.50/414,330.51
  6. Step 6: Final answer
    x = 420,532.83

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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.