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Finding the Fourth Proportional to 550,918.80, 826,378.20 and 409,201.20

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Solution

The fourth proportional to 550,918.80, 826,378.20 and 409,201.20 is: 613,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,918.80 : 826,378.20 = 409,201.20 : x
  2. Step 2: Convert to fraction form
    550,918.80/826,378.20 = 409,201.20/x
  3. Step 3: Cross multiply
    550,918.80x = 826,378.20 × 409,201.20
  4. Step 4: Simplify right side
    550,918.80x = 338,154,951,093.84
  5. Step 5: Solve for x
    x = 338,154,951,093.84/550,918.80
  6. Step 6: Final answer
    x = 613,801.80

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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.