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Finding the Fourth Proportional to 409,411.20, 613,425.60 and 269,097.60

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Solution

The fourth proportional to 409,411.20, 613,425.60 and 269,097.60 is: 403,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,411.20 : 613,425.60 = 269,097.60 : x
  2. Step 2: Convert to fraction form
    409,411.20/613,425.60 = 269,097.60/x
  3. Step 3: Cross multiply
    409,411.20x = 613,425.60 × 269,097.60
  4. Step 4: Simplify right side
    409,411.20x = 165,071,356,738.56
  5. Step 5: Solve for x
    x = 165,071,356,738.56/409,411.20
  6. Step 6: Final answer
    x = 403,192.09

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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.