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Finding the Fourth Proportional to 513,299.19, 769,404.47 and 197,619.51

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Solution

The fourth proportional to 513,299.19, 769,404.47 and 197,619.51 is: 296,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,299.19 : 769,404.47 = 197,619.51 : x
  2. Step 2: Convert to fraction form
    513,299.19/769,404.47 = 197,619.51/x
  3. Step 3: Cross multiply
    513,299.19x = 769,404.47 × 197,619.51
  4. Step 4: Simplify right side
    513,299.19x = 152,049,337,361.99
  5. Step 5: Solve for x
    x = 152,049,337,361.99/513,299.19
  6. Step 6: Final answer
    x = 296,219.71

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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.