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Finding the Fourth Proportional to 409,331.70, 613,997.55 and 308,948.40

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Solution

The fourth proportional to 409,331.70, 613,997.55 and 308,948.40 is: 463,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,331.70 : 613,997.55 = 308,948.40 : x
  2. Step 2: Convert to fraction form
    409,331.70/613,997.55 = 308,948.40/x
  3. Step 3: Cross multiply
    409,331.70x = 613,997.55 × 308,948.40
  4. Step 4: Simplify right side
    409,331.70x = 189,693,560,676.42
  5. Step 5: Solve for x
    x = 189,693,560,676.42/409,331.70
  6. Step 6: Final answer
    x = 463,422.60

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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.