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Finding the Fourth Proportional to 513,846.80, 709,251.24 and 299,028.56

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Solution

The fourth proportional to 513,846.80, 709,251.24 and 299,028.56 is: 412,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,846.80 : 709,251.24 = 299,028.56 : x
  2. Step 2: Convert to fraction form
    513,846.80/709,251.24 = 299,028.56/x
  3. Step 3: Cross multiply
    513,846.80x = 709,251.24 × 299,028.56
  4. Step 4: Simplify right side
    513,846.80x = 212,086,376,975.41
  5. Step 5: Solve for x
    x = 212,086,376,975.41/513,846.80
  6. Step 6: Final answer
    x = 412,742.43

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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.