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Finding the Fourth Proportional to 552,493.20, 827,962.20 and 409,220.40

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Solution

The fourth proportional to 552,493.20, 827,962.20 and 409,220.40 is: 613,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,493.20 : 827,962.20 = 409,220.40 : x
  2. Step 2: Convert to fraction form
    552,493.20/827,962.20 = 409,220.40/x
  3. Step 3: Cross multiply
    552,493.20x = 827,962.20 × 409,220.40
  4. Step 4: Simplify right side
    552,493.20x = 338,819,022,668.88
  5. Step 5: Solve for x
    x = 338,819,022,668.88/552,493.20
  6. Step 6: Final answer
    x = 613,254.65

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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.