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Finding the Fourth Proportional to 451,421.88, 622,982.40 and 257,846.40

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Solution

The fourth proportional to 451,421.88, 622,982.40 and 257,846.40 is: 355,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,421.88 : 622,982.40 = 257,846.40 : x
  2. Step 2: Convert to fraction form
    451,421.88/622,982.40 = 257,846.40/x
  3. Step 3: Cross multiply
    451,421.88x = 622,982.40 × 257,846.40
  4. Step 4: Simplify right side
    451,421.88x = 160,633,769,103.36
  5. Step 5: Solve for x
    x = 160,633,769,103.36/451,421.88
  6. Step 6: Final answer
    x = 355,839.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.