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Finding the Fourth Proportional to 513,794.75, 709,022.16 and 284,361.44

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Solution

The fourth proportional to 513,794.75, 709,022.16 and 284,361.44 is: 392,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,794.75 : 709,022.16 = 284,361.44 : x
  2. Step 2: Convert to fraction form
    513,794.75/709,022.16 = 284,361.44/x
  3. Step 3: Cross multiply
    513,794.75x = 709,022.16 × 284,361.44
  4. Step 4: Simplify right side
    513,794.75x = 201,618,558,864.40
  5. Step 5: Solve for x
    x = 201,618,558,864.40/513,794.75
  6. Step 6: Final answer
    x = 392,410.71

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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.