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Finding the Fourth Proportional to 415,216.80, 622,825.20 and 321,904.80

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Solution

The fourth proportional to 415,216.80, 622,825.20 and 321,904.80 is: 482,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,216.80 : 622,825.20 = 321,904.80 : x
  2. Step 2: Convert to fraction form
    415,216.80/622,825.20 = 321,904.80/x
  3. Step 3: Cross multiply
    415,216.80x = 622,825.20 × 321,904.80
  4. Step 4: Simplify right side
    415,216.80x = 200,490,421,440.96
  5. Step 5: Solve for x
    x = 200,490,421,440.96/415,216.80
  6. Step 6: Final answer
    x = 482,857.20

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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.