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Finding the Fourth Proportional to 513,794.68, 709,022.06 and 284,361.58

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Solution

The fourth proportional to 513,794.68, 709,022.06 and 284,361.58 is: 392,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,794.68 : 709,022.06 = 284,361.58 : x
  2. Step 2: Convert to fraction form
    513,794.68/709,022.06 = 284,361.58/x
  3. Step 3: Cross multiply
    513,794.68x = 709,022.06 × 284,361.58
  4. Step 4: Simplify right side
    513,794.68x = 201,618,633,236.46
  5. Step 5: Solve for x
    x = 201,618,633,236.46/513,794.68
  6. Step 6: Final answer
    x = 392,410.90

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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.